1. A population of values has a normal distribution with Î¼=182.1 and Ïƒ=28.9. You intend to...

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Statistics

1. A population of values has a normal distribution with Î¼=182.1and Ïƒ=28.9. You intend to draw a random sample of size n=117.
Find the probability that a single randomly selected value isless than 187.7.
P(X < 187.7) =
Find the probability that a sample of size n=117is randomlyselected with a mean less than 187.7.
P(Â¯x < 187.7) =Â Â

2.
CNNBC recently reported that the mean annual cost of auto insuranceis 1045 dollars. Assume the standard deviation is 211 dollars. Youtake a simple random sample of 69 auto insurance policies.

Find the probability that a single randomly selected value is lessthan 977 dollars.
P(X < 977) =

Find the probability that a sample of size n=69= is randomlyselected with a mean less than 977 dollars.
P(Â¯xxÂ¯ < 977) =

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SolutionQuestion1A population of values has a normal distribution with 1821and 289Sample size n 117Part a PX 1877 Find z score for x 1877Thus we getPX See Answer

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