X is normally distributed random variable with a mean of 60 and standard deviation of 8. Find the probabilities indicated by using the standard normal table. 1. P(X < 52) 2. P(48 < X < 64) 3. P(X >
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- 7 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=81, p=0.68, and x = 52 Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). B. The normal distribution cannot be used to approximate the binomial distribution in this case. Compare the normal approximation with the exact probability. Select the correct choice below and fill in any answer boxes in your choice. OA. The exact probability is less than the approximated probability by (Round to four decimal places as needed.) OB. The exact probability is greater than the approximated probability by (Round to four decimal places as needed.) O c. The exact and approximated probabilities are equal. OD. The normal distribution cannot be used to approximate the…Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or technology. (a) P(Z20.8) (d) P(|Z| > 1.6) (b) P(Z< - 2.2) (e) P(0.3sZ<2.2) (c) P(- 0.9If the standard deviation of a Poission random variable X is 2, then find the probability that X is strictly positive.Help Sav A random variable is binomially distributed with n= 16 and T= 40. The expected value and standard deviation of the variables are %3DA normal random variable X has a mean of 15 and a standard deviation of 4. a. Find the value x for which P(X ≤ x) = 0.5. b. Find the value of x for which P(X > x) = 0.3You are playing a card came, and the probability that you will win a game is p = 0.73. If you play the game 1412 times, what is the most likely number of wins? (Round answer to one decimal place.) Let X represent the number of games (out of 1412) that you win. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = The range rule of thumb specifies that the minimum usual value for a random variable is u-2o and the maximum usual value is p+2o. You already found u and o for the random variable X. Use the range rule of thumb to find the usual range of X values. Enter answer as an interval using square- brackets and only whole numbers. usual values =The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 76 degrees is 0.0228 0.1587 None of the other options 0.0062Let 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)X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. For which value of a is P(X > a) = 0.6293? What is a?9Five 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.…**All calculations should be shown by hand**
