Let æ be a random variable that possesses a binomial distribution with p = 0.9 and n = 15. Using the binomial formula or tables, calculate the following probabilities. Also calculate the mean and standard deviation of the distribution. Round solutions to four decimal places, if necessary. P(x > 11) : P(x < 2) %3D P(x = 14) = %3D

Let x be a random variable that has a normal distribution with a mean of 40 and a standard deviation of 5. After converting the following x-values to z-values, find the following probabilities: P(x < 49)     P(x > 55)

Assume that a procedure yields a binomial distribution with n = 815 trials and the probability of success for one trial is p = 0.32. Find the mean for this binomial distribution. (Round answer to one decimal place.) fl Find the standard deviation for this distribution. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=

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 a procedure yields a binomial distribution with n = 513 trials and the probability of success for one trial is p = 0.27. Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard deviation for this distribution. (Round answer to two decimal places.) O = Use the range rule of thumb to find the minimum usual value u-20 and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =

Find the value of X (Left Tailed Probability of 0.5) for v1 = 10 and v2 = 20 degrees of freedom.

Find the mean and variance of the binomial Distribution P=0.38, n=5

Assume that a procedure yields a binomial distribution with n=1231n=1231 trials and the probability of success for one trial is p=0.77p=0.77.Find the mean for this binomial distribution.(Round answer to one decimal place.) μ =   Find the standard deviation for this distribution.(Round answer to two decimal places.) σ =   Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter the answer as an interval using square-brackets only with whole numbers. usual values =

Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If​ so, approximate​ P(X) using the normal distribution and compare the result with the exact probability. n=51 p=.03 x=20