The normal random variable X has mean 4 and variance 1.22. Find the probability hat: * * X < 2.5 X lies between 2.5 and 7
Q: Consider a normally distribr deviation of 10. Find P(90<
A: mean =85 standard deviation =10 to find P(90<X<100)
Q: The weight of all cars traveling on interstate highway I-84 is normally distributed with a mean of…
A: From the provided information,
Q: f the necks of giraffes follow a Normal distribution with mean = 1.8 meters and standard deviation =…
A: Given Normal distribution with mean u = 1.8 meters standard deviation sigma = 0.2 meters.
Q: The owner of a shop knows the number of customers coming to his shop in a day is a random variable…
A: mean = 23.7 sigma = 4.2 Let X represent the nu,ber of people coming to shop in a day
Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…
A:
Q: The population of weights for men attending a local health club is normally distributed with a mean…
A: Given data: The population of weights for men (X) is normally distributed with mean and standard…
Q: Weights of watsathingies are normally distributed with mean u 14 kg and variance o² = 4. Find the…
A: From the given information, Consider, X be the random variable that the denotes weight…
Q: the number of computers sold per day at local computer store along with is corresponding…
A: From the given data: X P(x) X·P(x) X2·P(x) 0 0.1 0 0 1 0.2 0.2 0.2 2 0.3 0.6 1.2 3 0.2…
Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…
A:
Q: If a female is randomly selected, find the probability that her pulse rate is between 69 beats per…
A:
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: mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 90 sheets of…
A: Given: Mean=μ=4Standard deviation=σ=1.1Sample size=n=90Sample mean=x¯=4.1 First, we have to obtain…
Q: Assume the random variable x is normally distributed with mean 64 and standard deviation 5. Find the…
A:
Q: Assume the random variable x is normally distributed with mean u = 86 and standard deviation =4.…
A: Given,mean(μ)=86standard deviation(σ)=4
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: The random variable x has a normal distribution with standard deviation 25. It is known that the…
A:
Q: X is a normally distributed random variable with a standard deviation of 3.50. Find the mean of X…
A:
Q: A study conducted by the child mine institute found that children spend on average 5.5 minutes in…
A: The objective of this question is to find the probability that a randomly selected child spends more…
Q: assume the random variable x is normally distributed with mean u=50 and standard deviation =7. Find…
A:
Q: The standard deviation of a normally distributed X random variable is 1.75. The probability that X…
A: As given, The standard deviation of X is 1.75. That is, σ = 1.75 The probability that X is between…
Q: for a normally distributed random variable X with mean of 177.15 and standard deviation of 4.95 a…
A: It is given that the mean is 177.15 and the standard deviation is 4.95.
Q: A veterinary researcher takes an SRS of 60 horses presenting with colic whose average age is 12…
A: Suppose a random sample of sufficiently large sample size drawn from a population whose mean is µ…
Q: Suppose in a certain primary school, the weight of boys are normally distributed with mean 28kg and…
A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…
Q: Assume the random variablex is normally distrubited with mean u=85 and the standard deviation o=5.…
A: Population mean μ =85 Population standard deviation =5
Q: A random sample of 18 light bulbs is drawn from a normally distributed population. The population…
A:
Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…
A:
Q: Assume the random variable x is normally distributed with mean=84 and standard deviation=4. Find the…
A: Given that, Mean = 84 Standard deviation = 4
Q: Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand…
A: Step 1:The sample mean, denoted by ˉXˉ, of a random sample of exponential random variables…
Q: According to one study among a certain people group, pregnancy lengths are approximately normally…
A: Let X be the number of premature babies born to these mothers.
Q: A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the…
A: What is the probability that X is at least 81.6 ?
Q: he random variable X is normally distributed with mean 80 and stand
A: Here it is given that- Suppose the random variable X is normally distributed . Mean (μ) = 80…
Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…
A: Given Data: X is a random variable Variance (X)=16 X~ Normal (μ, 16) P(x>65)=0.025
Q: Determine, (1) Mean lifetime of these batteries (ii) Probability that such battery will last more…
A:
Q: A factory produces plate glass with a mean thickness of 4mm and a standard deviation of 1.1 mm. A…
A: We have given that Mean(µ) = 4Standard deviations (σ) = 1.1random sample of (n) = 100
Q: ress prints newspaper have a quantity that is approximately normally distributed, with mean equal to…
A: Given: μ=400, σ=20, n=5 The corresponding z-value needed to be computed is: The probability that…
Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…
A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n) = 25 By using standard normal…
Q: The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A…
A: X~N( μ , ?) μ=2200 , ?=625 Z-score =( x - μ )/?
Step by step
Solved in 3 steps with 2 images
- Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine P(28≤x≤30) to 2 decimal places.A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the probability that X is less than 75.Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?
- Consider a random variable X that follows a uniform distribution with a= 3 and b = 8 Find the mean value of X?Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.Assume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.
- A coin weighted so that P(H) = 3/4 and P(T) =2/5 is tossed four times. Let X is a random variable which denotes the longest string of tails which occurs. Find the distribution, expectation, variance and standard deviation of XLet x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean ? = 62.0 kg and standard deviation ? = 9.0 kg. Suppose a doe that weighs less than 53 kg is considered undernourished. (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 70 does should be more than 59 kg. If the average weight is less than 59 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 70 does is less than 59 kg (assuming a healthy population)? (Round your answer to four decimal places.) Suppose park rangers captured, weighed, and released 70 does in December, and the average weight was x = 63.8 kg. Do you think the doe population is undernourished or not? Explain. A. Since the sample average is above the mean, it…Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score between 89 and 111.
- Assume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.The owner of a fast-food restaurant knows that, on average, 2.4 cars (customers) use the drive-through window between 3 pm and 3.15 pm. Find the variance and standard deviation Find the probability that exactly two cars will use the drive-through window Find the probability that at least three cars will use the drive-through windowA random variable has a longnormal distribution with mean 10 and variance 4. Calculate the probability that the variable will take a value between 7.5 and 12.5