The weight of the eggs produced by a certain breed of hen is Normally distributed with mean 65 grams (g) and standard deviation 5 g. (a) Calculate the probability that a randomly selected egg weighs between 62.5 g and 68.75 g. Show your work
Q: a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80…
A: Let X denotes the pulse rates of females. Given that X follows N(mean = 76.0, SD = 12.5) Then Z = (X…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…
A: The distribution of female pulse rate (beats per minute), it is given that, The mean, μ=76.0 The…
Q: In the library on a university campus, there is a sign in the elevator that indicates a limit of 16…
A: Note: Hi! Thank you for your question. As per the guideline, we can solve three subparts at a time…
Q: Carbon monoxide (CO) emissions for a certain kind of car vary with mean 2.646 g/mi and standard…
A: Given Data Population Mean,μ = 2.646 Population Standard Deviation,σ = 0.8
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per…
A:
Q: Q2/ The speed of a file transfer from a server on campus to a personal computer at a student's home…
A:
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A: The provided information is as follows:The is a random variable that represents the distance in…
Q: Regarding the speeds at which cars pass through a checkpoint. Assume the speeds are normally…
A:
Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…
A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 beats per…
A: The mean is 74 and the standard deviation is 12.5.
Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…
A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
Q: The average price of a college math textbook is $178 and the standard deviation is $24. Suppose that…
A: Given that, μ=178σ=24n=6 The distribution of x¯ follows normal distribution. The values of mean and…
Q: emales have pulse rates that are normally distributed with a mean of p= 76.0 beats per minute and…
A: Given information Mean = mu = 76.0 Standard deviation = s= 12.5 Z score formula = x - mu /s
Q: The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption…
A: Step 1:If X is random variable follow normal distribution then it represented as X ~ N (μ…
Q: Deats pel mindte dind a Standar Beats per milhute. Complete parts (a) through (c) below. a. If 1…
A:
Q: Assume that females have pulse rates that are normally distributed with a mean of u=75.0 beats per…
A: From the given information we find the solution.
Q: Assume that females have pulse rates that are normally distributed with a mean of u=75.0 beats per…
A: Part (a): Probability for 1 FemaleStep 1: Standardize the Pulse RateWe know the population mean (μ)…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…
A: Given data: Mean = 76 Standard deviation = 12.5
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…
A: We have given information, Let X= females pulse rates. Assuming the random variable X follows a…
Q: According to a study done by UCB students, the height for Martian adult males is normally…
A:
Q: The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption…
A: Solution-: Let, X= The amount of sodium consumed Given: We find, (a) What is the distribution of X?…
Q: Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per…
A: Given information Mean µ = 74 beats per minute Standard deviation σ = 12.5 beats per minute
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Reviewing information, X : Pulse rates of females per minute X~Nμ=76,σ=12.5
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: Given dataMean = 68Standard deviation = 12As per binomial approximationMean = np > 5 and standard…
Q: In the library on a university campus, there is a sign in the elevator that indicates a limit of 16…
A: a) Suppose a random variable x defines the weight of a randomly selected people on the campus.
Q: Regarding the speeds at which cars pass through a checkpoint. Assume the speeds are normally…
A: It is an important part of statistics. It is widely used.
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: According to guidelines we solve three subpart
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Given, Mean μ = 72 Standard deviation σ = 12.5
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Solution To find probability we will use z score.
Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…
A: NOTE:- As per our policy, we can answer only three subparts of a question. Please make a new request…
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A: Mean of distribution, feet. Standard deviation of distribution, feet.The is the distance in feet…
Q: The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption…
A: From the provided information, Mean (µ) = 9.5 grams Standard deviation (σ) = 0.8 grams Let X be a…
Q: In the library on a university campus, there is a sign in the elevator that indicates a limit of 16…
A: (a) The mean of the sampling distribution of x¯ is: μx¯=155 lb. (b) The standard deviation of the…
Q: he amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…
A:
Q: According to a study done by UCB students, the height for Martian adult males is normally…
A: Given information: The height for Martian adult males is normally distributed. Average height, μ=66…
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Obtain the probability that 1 adult female pulse rate is less than 83 beats per minute. The…
Q: Assume that females have pulse rates that are normally distributed with a mean of µ= 76.0 beats per…
A:
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…
A: Given information- Population mean, µ = 76 beats per minute Population standard deviation, σ = 12.5…
Q: Determine the probability mass function of the number of cracks (X) in 5 miles of highway. 2.…
A: It is given that Number of cracks per mile = 2, then Number of cracks per 5 miles = 2 × 5 = 10
Q: Assume that the amount of weight that male college students gain during their freshman year are…
A: NNote: this probability value calculated from standard normal distribution table
Q: The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days.…
A: GivenMean(μ)=22standard deviation(σ)=2
11. The weight of the eggs produced by a certain breed of hen is
(a) Calculate the probability that a randomly selected egg weighs between 62.5 g and 68.75 g. Show your work.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
- Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the original population has a normal distribution, the…Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (b) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.)
- The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2808 and standard deviation 571. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. b. Find the probability that the customer consumes less than 2436 calories. c. What proportion of the customers consume over 3047 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? ? calories. (Round to the nearest calorie)Assume that females have pulse rates that are normally distributed with a mean of µ= 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is3. The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 gram. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( ? , ? )b. Find the probability that this American man consumes between 9.5 and 11 grams of sodium per day?c. The middle 20% of American men consume between what two weights of sodium?Low: High:
- The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2801 and standard deviation 544. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. b. Find the probability that the customer consumes less than 2648 calories. c. What proportion of the customers consume over 3123 calories? d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is- (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the…Assume that females have pulse rates that are normally distributed with a mean of µ = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 75 beats per minute.
- 10According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 67 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that the person is between 63.6 and 65.5 inches. c. The middle 20% of Martian heights lie between what two numbers?Low: inchesHigh: inches