A normally distributed population has a mean of 550 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 501. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 583. a. P(x<501) (Round to four decimal places as needed.) %3D b. P (x2 583) (Round to four decimal places as needed.)

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Draw a sketch. Choose the correct graph below.

he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.   For a sample of n=65​, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65​, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. ​(Round to four decimal places as​ needed.) Would the given sample mean be considered​ unusual?   The sample mean ▼   would not would be considered unusual because it ▼   does not lie lies within the range of a usual​ event, namely within ▼   1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.

A researcher recorded the number of shots made, X, out of 10 free throws by a sample of 1000 randomly selected college students. The table below is a probability distribution table representing the data collected. Calculate the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. x P(x) 0 0.01 1 0.01 2 0.02 3 0.04 4 0.03 5 0.05 6 0.21 7 0.29 8 0.21 9 0.08 10 0.05

The average THC content of marijuana sold on the street is 11%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. a. What is the distribution of X? X - N( 11 1 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. Round to 4 decimal places. c. Find the 77th percentile for this distribution. Round to 2 decimal places. %

The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question

In a study, 25,000 adults were randomly surveyed as to the number of grandchildren they have, X. The probability distribution is given below. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean to one decimal place and the standard deviation to two decimal places. x P(x) 0 0.01 1 0.02 2 0.02 3 0.24 4 0.35 5 0.20 6 0.07 7 0.05 8 0.02 9 0.01 10 0.01

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