# Statistics Assignment

Statistics Assignment

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1)  Assume the random variable x is normally distributed with mean μ=8383 and standard deviation

σ=55. Find the indicated probability.  P(68<x<76​) =

2)In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.9 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​ (a) Find the probability that a study participant has a height that is less than 68 inches.

The probability that the study participant selected at random is less than 68 inches tall is

​(Round to four decimal places as​ needed.)

1. b) Find the probability that a study participant has a height that is between 68 and 70 i

The probability that a study participant selected a random is vetween68 and 70 inches tall is ? ( round to four decimal places)

1. c) Find the probability that a study participant has a height that is more than 70

The probability that the study participant selected at random is more than

70 inches tall is        (Round to four decimal places as​ needed.)

d )   Identify any unusual events. Explain your reasoning. Choose the correct answer below.

• there are no unusual events because all the probabilities are greater than 0.05.
• the event in part ( a) is unusual because its probability is less than 0.05
• The event in parts (a) (b) an (c) are unusual because all of their probabilities are less than 0.05.
• The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.

3) to complete this question see attachment 5 please.

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed.

The probability that the member selected at random is from the shaded area of the graph is  ?  Round to four decimal places as​ needed.

4)  Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 107. Assume the variable x is normally distributed.