Find a z0 that has area 0.9452 to its left. (Round your answer
to two decimal places.)
z0 =
(b) Find a z0 that has area 0.05 to its left. (Round your answer
to two decimal places.)
z0 =
Find the value of the standard normal random variable
z, called z0 such that:
(b) P(−z0≤z≤z0)=0.3264
(c) P(−z0≤z≤z0)=0.8332
(d) P(z≥z0)=0.3586
(e) P(−z0≤z≤0)=0.4419
(f) P(−1.15≤z≤z0)=0.5152
Find the following probabilities. (Round your answers to four
decimal places.)
(a) p(0 < z <
1.44)
(b) p(1.03 < z <
1.69)
(c) p(−0.87 < z <
1.72)
(d) p(z < −2.07)
(e) p(−2.32 < z <
−1.17)
(f) p(z < 1.52)
1. For a standard normal distribution, determine the z-score,
z0, such that P(z < z0) = 0.9698.
2. From a normal distribution with μμ = 76 and σσ = 5.9, samples
of size 46 are chosen to create a sampling distribution. In the
sampling distribution determine P(74.399 < ¯xx¯ <
78.079).
3. From a normal distribution with μμ = 81 and σσ = 2.7, samples
of size 48 are chosen to create a sampling distribution. In the
sampling distribution determine...
Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)
(a)
The area to the left of z is 0.1841.
(b)
The area between −z and z is 0.9398.
(c)
The area between −z and z is 0.2052.
(d)
The area to the left of z is 0.9948.
(e)
The area to the right of z is 0.6915.
7. Suppose P(Z > z) = 0.9656. What is the value of z? Round
your answer to 2 decimal places.
8. Let X be the number of shoppers in a supermarket line in an
hour. Assume each person is independent. What type of probability
distribution does X follow?
A general discrete distribution
A binomial distribution
A Poisson distribution
An exponential distribution