Suppose x is a normally distributed random variable with mean μ = 75 and standard deviation o = 4. Find the probability that 71 < x < 81. 77% 7% 84% 53%

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Detemine whether a probability distribution is given. If a probability distribution is given, find its mean and standard P(x) 0.034 0.157 1 2 deviation. If a probability distribution is not given, identify the requirements 0.309 3 0.309 that are not satisfied. 4 0.157 5 0.034 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. O D. No, the random variable x is categorical instead of numerical. O E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= O B.…

Use the z formula  and the normal table( z distribution) to solve the following problems.  the time it takes a person to lose weight following a healthy diet with regular exercise may be looked upon as a random variable having a normal distribution with mean μ = 18.4 lbs per month and standard deviation σ = 5.8 lbs per month.  Find the probabilities that during a period of healthy dieting and exercising a person's weight will be reduced by at least 20 lbs per month,between 5 and 15 lbs per month,at most 30 lbs per month and between 15 and 25 lbs per month?

Assume that the probability of a being born with Genetic Condition B is p=17/60. A study looks at a random sample of 1146 volunteers. 4 Find the most likely number of the 1146 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 1146) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value p+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question Jump to Answer Written Example Message instructor 44°F Clear W S 3 E D 4 Q Search R LL T V G Y 00 H J

level of blood glucose and diabetes are closoly related. Let x bo a random variable measured in milligrams of glucose per deciliter of od. After a 12-hour fast, th random variable x will have a distribution that is approximately normal with mean - 85 and standard deviation 5. What is the probability that for an adult after a 12-hour fast. s less than 7o, b. x is greater than 120?

Randomly sample 256 items from a population where individuals have a normal distribution with a mean of 250 and a standard deviation of 80, find the following probability rounded to 4 decimal places. 230 235 240 z = -4 z = -2 P(Z < 252.4) 245 250 z = 0 255 260 265 z = 2 270 Z =

A random variable X is normally distributed. It has a mean of 270 and a standard deviation of 31. For a sample of size 21, the mean is 270 and the standard deviation is 6.76. 1.  Find the probability of getting a sample mean greater than 277.85 when taking a sample of size 21 from this population.