Question

In: Statistics and Probability

Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...

Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)

(a)    P(0 ≤ Z ≤ 2.97)


(b)    P(0 ≤ Z ≤ 2)

(c)    P(−2.50 ≤ Z ≤ 0)




(d)    P(−2.50 ≤ Z ≤ 2.50)




(e)    P(Z ≤ 1.03)


(f)    P(−1.75 ≤ Z)




(g)    P(−1.50 ≤ Z ≤ 2.00)




(h)    P(1.03 ≤ Z ≤ 2.50)


(i)    P(1.50 ≤ Z)


(j)    P(|Z| ≤ 2.50)

Solutions

Expert Solution


Related Solutions

Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.33) 0.4875 Incorrect: Your answer is incorrect. (b) P(0 ≤ Z ≤ 2) 0.4772 Correct: Your answer is correct. (c) P(−2.70 ≤ Z ≤ 0) 0.4981 Incorrect: Your answer is incorrect. (d) P(−2.70 ≤ Z ≤ 2.70) 0.9963 Incorrect: Your answer is incorrect. (e) P(Z ≤ 1.93) 0.9545 Incorrect: Your answer...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.09) (b) P(0 ≤ Z ≤ 2) (c) P(−2.10 ≤ Z ≤ 0) (d) P(−2.10 ≤ Z ≤ 2.10) (e) P(Z ≤ 1.62) (f) P(−1.05 ≤ Z) (g) P(−1.10 ≤ Z ≤ 2.00) (h) P(1.62 ≤ Z ≤ 2.50) (i) P(1.10 ≤ Z) (j) P(|Z| ≤ 2.50) You may need to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a)    P(0 ≤ Z ≤ 2.72) (b)    P(0 ≤ Z ≤ 1) (c)    P(−2.90 ≤ Z ≤ 0) (d)    P(−2.90 ≤ Z ≤ 2.90) (e)    P(Z ≤ 1.37) (f)    P(−1.55 ≤ Z) (g)    P(−1.90 ≤ Z ≤ 2.00) (h)    P(1.37 ≤ Z ≤ 2.50) (i)    P(1.90 ≤ Z) (j)    P(|Z| ≤ 2.50) You may need to use the appropriate table in the Appendix of Tables to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.63) (b) P(0 ≤ Z ≤ 2) (c) P(−2.60 ≤ Z ≤ 0) (d) P(−2.60 ≤ Z ≤ 2.60) (e) P(Z ≤ 1.63) (f) P(−1.15 ≤ Z) (g) P(−1.60 ≤ Z ≤ 2.00) (h) P(1.63 ≤ Z ≤ 2.50) (i) P(1.60 ≤ Z) (j) P(|Z| ≤ 2.50) You may need to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a)    P(0 ≤ Z ≤ 2.56) (b)    P(0 ≤ Z ≤ 2) (c)    P(−2.20 ≤ Z ≤ 0) (d)    P(−2.20 ≤ Z ≤ 2.20) (e)    P(Z ≤ 1.02) f)    P(−1.85 ≤ Z) (g)    P(−1.20 ≤ Z ≤ 2.00) (h)     P(1.02 ≤ Z ≤ 2.50) (i)    P(1.20 ≤ Z) (j)    P(|Z| ≤ 2.50)
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.13) (b) P(0 ≤ Z ≤ 1) (c) P(−2.20 ≤ Z ≤ 0) (d) P(−2.20 ≤ Z ≤ 2.20) (e) P(Z ≤ 1.93) (f) P(−1.15 ≤ Z) (g) P(−1.20 ≤ Z ≤ 2.00) (h) P(1.93 ≤ Z ≤ 2.50) (i) P(1.20 ≤ Z) (j) P(|Z| ≤ 2.50)
1- Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures...
1- Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (e) P(Z ≤ 1.08) (f) P(−1.25 ≤ Z) (h) P(1.08 ≤ Z ≤ 2.50) (j) P(|Z| ≤ 2.50) 2- In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a)    P(Z < c) = 0.9834 (b)    P(0 ≤ Z ≤ c) = 0.3078 (d)    P(−c...
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided....
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. =P≤Z−1.63 =P>Z0.71 =P<−0.93<Z2.09
If Z is a standard normal random variable, find the value z0 for the following probabilities....
If Z is a standard normal random variable, find the value z0 for the following probabilities. (Round your answers to two decimal places.) (a) P(Z > z0) = 0.5 z0 = (b) P(Z < z0) = 0.9279 z0 = (c) P(−z0 < Z < z0) = 0.90 z0 = (d) P(−z0 < Z < z0) = 0.99 z0 =
Given that z is a standard normal random variable, compute the following probabilities. P(z ≤ -0.71)...
Given that z is a standard normal random variable, compute the following probabilities. P(z ≤ -0.71) P(z ≤ 1.82) P(z ≥ -0.71) P(z ≥ 1.22) P( –1.71 ≤ z ≤ 2.88) P( 0.56 ≤ z ≤ 1.07) P( –1.65 ≤ z ≤ –1.65) Given that z is a standard normal random variable, find z, for each situation. The area to the left of z is 0.9608 The area to the right of z is .0102 The area between o and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT