A population of values has a normal distribution with u = 172 and o = sample of size n = 8.4. You intend to draw a random 129. Find the probability that a single randomly selected value is between 169.6 and 172.4. P(169.6 < X < 172.4) = %3D Find the probability that a sample of size n = randomly selected with a mean between 169.6 and 172.4. 129 is P(169.6 < M < 172.4) =

A population of values has a normal distribution with �=125.2 and �=28.3. Find the probability that a single randomly selected value is between 119.2 and 128.1. Round your answer to four decimal places.�(119.2<�<128.1)=    Find the probability that a randomly selected sample of size �=215 has a mean between 119.2 and 128.1. Round your answer to four decimal places. �(119.2<�<128.1)=

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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?  minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (.        ) minutesQ3: (         )minutesIQR:(         )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND D

A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:- 1.The probability of exactly 3 success 2.The expected value(mean) 3.The variance of the random variable