Question

1. If a z score is found to be 0.7, what is the resulting probability IN THE RIGHT TAIL, please round 4 decimal places.

2. If a z score is found to be 0.08, what is the resulting probability IN THE NON-TAIL? please round 4 decimal places.

3. If a probability or area is found to be 0.3024, what is the z score. round 2 places decimal places

4. If a probability or area is found to be 0.8099, what is the z score, round 2 decimal places.

5. If a z score is found to be -2.01 , what is the resulting probability IN THE LEFT TAIL? round 4 decimal places

Answer 1

1) P( X > 0.7 ) = 0.241964.

0.2420

R code should be:

pnorm(q=0.7, mean=0, sd=1, lower.tail=TRUE, log.p = FALSE)

dnorm (x=0.7, mean=0, sd=1)

2) P( X ≤ 0.08 ) = 0.531881.

0.5319

R code should be:

pnorm(q=0.08, mean=0, sd=1, lower.tail=TRUE, log.p = FALSE)

dnorm (x=0.08, mean=0, sd=1)

3) P( X ≤ -0.51751 ) = 0.3024

-0.52

R code should be:

qnorm(p=0.3024, mean=0, sd=1, lower.tail=TRUE, log.p = FALSE)

dnorm (x=-0.51751, mean=0, sd=1)

4) P( X ≤ 0.877528 ) = 0.8099.

0.88

R code should be:

qnorm(p=0.8099, mean=0, sd=1, lower.tail=TRUE, log.p = FALSE)

dnorm (x=0.877528, mean=0, sd=1)

5) P( X ≤ -2.01 ) = 0.0222156.

0.0222

R code should be:

pnorm(q=-2.01, mean=0, sd=1, lower.tail=TRUE, log.p = FALSE)

dnorm (x=-2.01, mean=0, sd=1)

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