The daily sales at a convenience store produce a normal distribution with a mean of $2,271 and a standard deviation of $139. Determine the probability that the sales on a given day at this store are more than $2,666. 0.9978 0.0022 O0.3186 00.4501
Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…
A: Let "X" be the IQ score of the adults.
Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…
A: (a) Obtain the probability that pregnancy will last 307 days or longer. The probability that…
Q: A purveyor of designer maternity wear sells dresses and pants priced around $250 each for an average…
A: Given DataMean = 1000Standard deviation = 400Sales is following normal distributionFinding the…
Q: Exercise 06.25 (Normal Probability Distribution) b. What is the probability that a household in…
A: GIVEN DATA normal distributionμ = 75847σ = 33800
Q: According to a recent survey, the salaries of assistant professors have a mean of $40,756 and a…
A: We want to find the probability
Q: A hen lays a mean egg 309 eggs per year with a standard deviation is 12.7 eggs. The distribution can…
A: Given information- Sample size, n = 21 Population mean, µ = 309 eggd Population standard deviation,…
Q: Let μ be the mean annual salary of Major League Baseball players in 2002. Assume that the standard…
A: From the provided information, Standard deviation (σ) = 99000 Sample size (n) = 50
Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard…
A: Given a mean of 97.8 and a standard deviation of 23
Q: The mean monthly household electric bill in a certain community is $110. Assume the amounts are…
A: Suppose the random variable x defines the monthly household electric bill in a certain community.
Q: The household income in a particular town can be represented by a normal distribution with a mean of…
A: Solution: Let X be the household income in a particular town has normal distribution with mean…
Q: A Cuckoo Maran hen lays a mean 300 eggs per year with a standard deviation of 12.7 eggs. The…
A:
Q: Find the probability that 1 man has weight greater than 160 lb. Assume that weights of males are…
A: Let X represent the random variable Mean=182.9 SD=40.8 X~ Normal (182.9, 40.82)
Q: alespeople for a solar technology company have average annual sales of $200,000, with a standard…
A: Statistics is a branch of mathematics that gives us the tools to deal with large quantities of data…
Q: he average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a…
A: Given: μ=23.5, σ=3.6 The corresponding z-value needed to be computed: The probability that the…
Q: Salespeople for a solar technology company have average annual sales of $400,000, with a standard…
A:
Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…
A: Given information Mean µ = 41750 Standard deviation σ = 7500 proportion of assistant professors who…
Q: The weekly amount spent by an event management company for travel has approximately a normal…
A: From the provided information, Mean (µ) = $2500 Standard deviation (σ) = $400 Let X be a random…
Q: A study has shown that 15% of all college textbooks have a price of $178.52 or higher. It is known…
A: From the provided information Standard deviation (σ) = $32.55 Let X be a random variable which…
Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…
A: We have to find out given probability..
Q: Use a numerical integration command on a graphing calculator to find the indicated probability. The…
A: The mean annual wage for firefighters is $45,000 with a standard deviation of $14,000. We assume…
Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.
A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A:
Q: Assume that the salaries of elementary school teachers are normally distributed with a mean $35,000…
A:
Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…
A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…
Q: The spending at Target is distributed normally with a mean spending of $45.67 and a standard…
A: According to the provided information, mean = $45.67 standard deviation = $5.50
Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…
A: Given that. X~N( μ , ?) μ=31000 , ?=3000 Z-score =( x - μ )/?
Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…
A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ
Q: The amount of daily sales of a candy shop in weekdays is approximately normally distributed with a…
A: Let us denote: X=the amount of daily sales of a candy shop in weekdays Given that X follows a normal…
Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…
A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.
Q: Incomes for a certain profession are normally distributed with a mean of $64,745 and standard…
A:
Q: The number of automobile accidents per week in Toronto is normally distributed with a mean of 16.3…
A:
Q: Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a…
A: From the given information,X follows a normal distribution with a mean of 311 miles and standard…
Q: approximately
A:
Q: Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that…
A: Table and R command has utilized to calculate the probability.
Q: What women's height corresponds to a z-score of −1.80? b. Professional basketball player Evelyn…
A: It is given that For men, mean = 64, and SD = 2.5 For women, mean = 73, and SD = 2
Q: he average number of minutes per week that teenagers spend texting is 240.0 . Assume the standard…
A: Given data, μ=240σ=72If n=64P(230<X<250)=?
Q: The spending at Target is distributed normally with a mean spending of $47.67 and a standard…
A:
Q: The grades of business statistics are normally distributed with mean 80 and standard deviation 10.…
A: GivenMean(μ)=80standard deviation(σ)=10
Q: Assume the credit card balances of younger college educated employed persons are normally…
A:
Q: Find the probability that an observation taken from a standard normal population will be more than…
A: We have to find given probability..
Q: Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of…
A: Let X be a random variable that denotes the weight of the child's school bag. Then, it is provided…
Q: According to a recent survey, the salaries of assistant professors have a mean of $40,756 and a…
A:
Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…
A: Given that. X~N( μ , ?) μ=31000 , ?=3000 Z-score =( x - μ )/?
Q: Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 67…
A: The following information has been given: The mean of women's height is μw=67 The standard deviation…
Q: Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a…
A: Given: i. Calculate the corresponding Z score as follows: The diagram corresponding to the mean…
Step by step
Solved in 2 steps with 2 images
- The average monthly cable bill in 2016 has been reported to be $92.Assume monthly cable bills follow a normal distribution with a standard deviation of $8.50. a. What is the probability that a randomly selected bill will be 1. less than $90? 2. less than $100? 3. exactly $100?Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a standard deviation of 16.8. A student is randomly selected. Find the probability that his/her score is between 60 and 80.
- The amount spent by a customer of Tasty Treat ltd has a normal distribution with a mean of 7.25 dollars and a standard deviation of 2.3 dollars. a. Calculate the probability that a randomly selected customer spends more than 8 dollars. b. 25% of customers spend more than x dollars. Find the value of x.The probability that the Springfield Isotopes will win any given game is 0.3831 based on a 13-year win history. An upcoming monthly schedule contains 21 games. X . Find the probability that the Isotopes win exactly 8 of the 21 games. Find the probability that the Isotopes win more than 12 of the 21 games. Find the mean of the distribution. Find the standard deviation of the distribution.A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
- Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4The weight of competition pumpkins at the Circleville Pumpkin Show in Circleville, Ohio, can be represented by a normal distribution with a mean of 703 pounds and a standard deviation of 347 pounds. Find the probability that a randomly selected pumpkin weighs at least 1,622 pounds. Find the probability that a randomly selected pumpkin weighs between 465.1 and 1,622 pounds.Consider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.
- Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 73 inches and a standard deviation of 2 inches. a. What women's height corresponds to a z-score of −1.80? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 17.3. Find the probability that a randomly selected adult has an IQ greater than 116.5.Assume that adults have IQ scores that are normally distributed with a mean of 98.5 and a standard deviation of 16.9. Find the probability that a randomly selected adult has an IQ greater than 125.0