6.8 Given a normal distribution with = 30 and σ = 6, find a. the normal curve area to the right of a b. the normal curve area to the left of x = 22; c. the normal curve area between x = 32 and x = 41; = 17; d. the value of a that has 80% of the normal curve area to the left; e. the two values of a that contain the middle 75% of the normal curve area.

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**6.8** Given a normal distribution with \( \mu = 30 \) and \( \sigma = 6 \), find

a. the normal curve area to the right of \( x = 17 \);

b. the normal curve area to the left of \( x = 22 \);

c. the normal curve area between \( x = 32 \) and \( x = 41 \);

d. the value of \( x \) that has 80% of the normal curve area to the left;

e. the two values of \( x \) that contain the middle 75% of the normal curve area.
Transcribed Image Text:**6.8** Given a normal distribution with \( \mu = 30 \) and \( \sigma = 6 \), find a. the normal curve area to the right of \( x = 17 \); b. the normal curve area to the left of \( x = 22 \); c. the normal curve area between \( x = 32 \) and \( x = 41 \); d. the value of \( x \) that has 80% of the normal curve area to the left; e. the two values of \( x \) that contain the middle 75% of the normal curve area.
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