Question

If Z is a standard normal variable, find the probability. The probability that z is less...

If Z is a standard normal variable, find the probability.

  1. The probability that z is less than 0.8.
    1. 0.7881                          b.   0.2119                    c.   0.4681                     d.   0.5319
  2. The probability that z lies between 0.61 and 2.25.
    1. 0.7413                          b.   0.2831                    c.   0.2587                     d.   0.7169
  3. The probability that z is greater than -2.47.
    1. 0.0068                          b.   0.0685                    c. 0.9932                       d.   0.9315
  4. The graph below shows a standard normal distribution. Find the z-score associated with the shaded area. The area of the shaded region is 0.0694.

    1. 1.37                             b.   1.48                        c.   1.26                        d.   1.01
  1. The graph below shows a standard normal distribution. Find the z-score associated with the shaded area. The area of the shaded region is 0.4483.

    1. 1.32                             b.   0.13                        c.   -0.13                       d.   0.5517
  1. The graph below shows a standard normal distribution. Find the area of the shaded region.

    1. 0.8907                          b.   0.8485                    c.   0.8708                     d.   0.1292
  1. The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of  at the freezing point of water. Tests on a larger sample of these thermometers reveal that at the freezing point of water, some give readings below  (denoted by negative numbers) and some give readings above  (denoted by positive numbers). Assume that the mean reading is  and the standard deviation of the readings is . Also assume that the frequency distribution of the errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

A quality control analyst wants to examine thermometers that give readings in the bottom 2.50%. Find the reading that separates the bottom 2.50% from the others.

  1. -1.41                         b.   1.41                     c.   -1.96                    d.   1.96         

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. For a standard normal distribution, find:   P(z > 2.32)   Keep four decimal places. 2. For...
1. For a standard normal distribution, find:   P(z > 2.32)   Keep four decimal places. 2. For a standard normal distribution, find: P(-0.9 < z < 0.95) 3. For a standard normal distribution, given: P(z < c) = 0.7622 Find c. 4. For a standard normal distribution, find: P(z > c) = 0.1753 Find c 5. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C....
This is a multi-part question. First, find the following: For a standard normal distribution, find: P(-1.17...
This is a multi-part question. First, find the following: For a standard normal distribution, find: P(-1.17 < z < 0.02)+__________ Second, resolve this: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -0.08°C. P(Z<−0.08)= ____________ Third, resolve this: Assume that the readings at freezing on a batch...
A. For a standard normal distribution, find: P(-1.14 < z < -0.41) B. For a standard...
A. For a standard normal distribution, find: P(-1.14 < z < -0.41) B. For a standard normal distribution, given: P(z < c) = 0.0278 Find c. C. For a standard normal distribution, find: P(z > c) = 0.4907 Find c. D. Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. IfP(0<z<a)=0.4686P(0<z<a) = 0.4686 find a. E. Assume that the readings at freezing on a bundle of thermometers are normally distributed with a...
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 C...
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0 C (denoted by negative numbers) and some give readings above 0 C (denoted by positive numbers). Assume that the mean reading is 0 C and the standard deviation of the readings is 0.08 C. Also assume that...
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter...
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) P(z ≥ 1.41) = Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Enter a number. Round your answer to four decimal places.) The area between z = 0.41 and z = 1.82 is .
Find the value of the probability of the standard normal variable Z corresponding to the shaded...
Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. (Round your answer to four decimal places) 1. P(Z > 1.25) 2. P(0.7 < Z < 1.55) 3. P(0.55 < Z < 1.63)
Find the area of the shaded region. The graph depicts the standard normal distribution of bone...
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. z=0.81 and z=1.23
Find the area of the shaded region. the graph depicts the standard normal distribution bone density...
Find the area of the shaded region. the graph depicts the standard normal distribution bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1. z= - "89 ," z= 1.22
Using the Standard Normal Distribution. Assume that the readings on scientific thermometers are normally distributed with...
Using the Standard Normal Distribution. Assume that the readings on scientific thermometers are normally distributed with a mean of 0 °C and a standard deviation of 1.00 °C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the probability of each reading in degrees Celsius A) Less than 2.75 B) Between 1.50 and 2.50
A: Let z be a random variable with a standard normal distribution. Find the indicated probability....
A: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ 1.11) = B: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.24) = C: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.78 ≤ z...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT