Question

2.Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...

2.Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. Complete parts a through c.

a. What is the probability that a single battery randomly selected from the population will have a life between 65 and 85​hours?

​P(65≤ overbar x≤85​)=

(Round to four decimal places as​ needed.)

Homework Answers

Answer #1

Sol: The above question is based on the probablity distribution of Z score.

Z- score shows the value away from mean value. here the range is: 85-65

Mean value= 75 hours and standard deviation = 9.

z(score 65)= 65-75/9= -1.11

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
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 80 ​hours? ​P(70 < or = x overbar < or = 80​) = 0.4246 ​(Round to four decimal places as​ needed.) b. What is the probability that...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 80 hours and a standard deviation of 11 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between and hours? 75 85 P(75 ≤ x ≤ 85) = (Round to four decimal places as needed.) b. What is the probability that randomly sampled batteries from the population...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 85 hours and a standard deviation of 11 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 80 and 90​ hours? ​P(80≤ overbar x≤90​)= ​(Round to four decimal places as​ needed.) b. What is the probability that 4 randomly sampled batteries from the population will have...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 80 ​hours? ​P(70less than or equalsx overbarless than or equals80​)equals nothing ​(Round to four decimal places as​ needed.)
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.73 inches and a standard deviation of 0.03 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below What is the probability that the sample mean is between 2.72 and 2.74 inches? The probability is 71​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=162 days and standard deviation σ=10 days. Complete parts​ (a) through​ (f) below. ​(a) What is the probability that a randomly selected pregnancy lasts less than 159 days?The probability that a randomly selected pregnancy lasts less than 159 days is approximately .3821 (Round to the nearest integer as​ needed.) A.If 100 pregnant individuals were selected independently from this​ population, we would expect ___pregnancies to...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.55 inches and a standard deviation of 0.06 inch. A random sample of 12 tennis balls is selected. Complete parts​ (a) through​ (d) below. a. What is the sampling distribution of the​ mean? A. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12 will be the uniform distribution. B. Because the population diameter of...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 273 daysμ=273 days and standard deviation sigma equals 17 daysσ=17 days. Complete parts​ (a) through​ (f) below. ​(a) What is the probability that a randomly selected pregnancy lasts less than 267267 ​days?The probability that a randomly selected pregnancy lasts less than 267267 days is approximately . 3632.3632. ​(Round to four decimal places as​ needed.) Interpret this probability. Select the correct choice below...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with a mean μ=192 days and a standard deviation of σ=19 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 185 days? The probability that a randomly selected pregnancy lasts less than 185 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in...
When used in a particular DVD player, the lifetime of a certain brand of battery is...
When used in a particular DVD player, the lifetime of a certain brand of battery is normally distributed with a mean value of 12 hours and a standard deviation of 0.8 hours. Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails. (Use a table or technology.) (a) What is the probability that the DVD player functions for at least 10 hours? (Round your...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT