A population of values has a normal distribution with = 180.8 and σ = size n = 10 is selected, 19.2. If a random sample of a. Find the probability that a single randomly selected value is less than 170.5. Round your answer to four decimals. P(X < 170.5) = b. Find the probability that a sample of size n = 170.5. Round your answer to four decimals. P(M 170.5) = 10 is randomly selected with a mean less than

MATLAB: An Introduction with Applications
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7.1 1
A population of values has a normal distribution with \( \mu = 180.8 \) and \( \sigma = 19.2 \). If a random sample of size \( n = 10 \) is selected,

a. Find the probability that a single randomly selected value is less than 170.5. **Round your answer to four decimals.**

\[ P(X < 170.5) = \]

b. Find the probability that a sample of size \( n = 10 \) is randomly selected with a mean less than 170.5. **Round your answer to four decimals.**

\[ P(M < 170.5) = \]
Transcribed Image Text:A population of values has a normal distribution with \( \mu = 180.8 \) and \( \sigma = 19.2 \). If a random sample of size \( n = 10 \) is selected, a. Find the probability that a single randomly selected value is less than 170.5. **Round your answer to four decimals.** \[ P(X < 170.5) = \] b. Find the probability that a sample of size \( n = 10 \) is randomly selected with a mean less than 170.5. **Round your answer to four decimals.** \[ P(M < 170.5) = \]
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