#1. Wool fibre breaking strengths are normally distributed with mean= 23.56 Newtons and standard deviation, =...

#1. Wool fibre breaking strengths are normally distributed with mean= 23.56 Newtons and standard deviation, = 4.55.

a) what proportion of fibres would have a breaking strength of 14.45 or less?

b)what proportion of fibres would have a breaking strength of 12.45 or more?

c) what proportion of fibres would have a breaking strength between 20 and 30?

d) what proportion of fibres would have a breaking strength between 19.01 and 28.11?

Solutions

Expert Solution

the table provided is for P(0<Z<z) for eg if z=1.44 then we take the value where the row containing 1.4 and column containing 4 intersect which is 0.4265 .

orchestra answered 2 years ago

Next > < Previous

Related Solutions

1. A population is normally distributed with a mean of 18 and a standard deviation of...

1. A population is normally distributed with a mean of 18 and a standard deviation of 2.5. What is the probability of randomly selecting one item from the population having: a) A value greater than 18. b) A value between 14 and 21.

1)If a variable X is normally distributed with a mean of 60 and a standard deviation...

1)If a variable X is normally distributed with a mean of 60 and a standard deviation of 15, what is P(X > 60) P(X > 75) P(X > 80) P(X < 50) P(45 < X < 75) P(X < 45)

a. A population is normally distributed with a mean of 16.4 and a standard deviation of...

a. A population is normally distributed with a mean of 16.4 and a standard deviation of 1.4. A sample of size 36 is taken from the population. What is the the standard deviation of the sampling distribution? Round to the nearest thousandth. b. A population is normally distributed with a mean of 15.7 and a standard deviation of 1.4. A sample of size 24 is taken from the population. What is the the standard deviation of the sampling distribution? Round...

1. A normally distributed population has a mean of 69 and a standard deviation of 13....

1. A normally distributed population has a mean of 69 and a standard deviation of 13. Sample averages from samples of size 24 are collected. What would be the lower end of the centered interval that contains 95% of all possible sample averages? Round to the nearest hundredth 2. Suppose a sample of 104 healthy children is taken from a population with a standard deviation of 0.4 degrees Fahrenheit. What would be sigma x-bar? Round to the nearest thousandth

1.Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of...

1.Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P ( − b < z < b ) = 0.6724 , find b. b = (Round to two decimal places.) Hint: Consider symmetry on this problem and draw a picture of the normal distribution to visualize this problem. What is the area under the normal curve from − b to b ? (given in the problem) What is the area under...

1. SAT math scores are normally distributed with a mean 525 and a standard deviation of...

1. SAT math scores are normally distributed with a mean 525 and a standard deviation of 102. In order to qualify for a college you are interested in attending your SAT math score must be in the highest 9.34% of all SAT scores. What is the minimum score you need on the SAT to qualify for the college? 2. If you get into this college you are interested in running for the track team. To qualify for the track team...

If X is normally distributed with a mean of 30 and a standard deviation of 2,...

If X is normally distributed with a mean of 30 and a standard deviation of 2, find P(30 ≤ X ≤ 33.4). a) 0.455 b) 0.855 c) 0.955 d) 0.555 e) 0.755 f) None of the above

X is normally distributed with a mean of -9.74 and a standard deviation of 0.27. a....

X is normally distributed with a mean of -9.74 and a standard deviation of 0.27. a. Find the value of x that solves P(X ≤ x)= 0.25 b. Find the value of x that solves P(X > x)= 0.20 c. Find the value of x that solves P(x <X ≤ -9.70) = 0.20 d. Find the value of x that solves P(-9.74 < X ≤x) = 0.35

Suppose that X is normally distributed with a mean of 50 and a standard deviation of...

Suppose that X is normally distributed with a mean of 50 and a standard deviation of 12. What is P(X ≥ 74.96) a) 0.481 b) 0.019 c) 0.981 d) 0.024 e) 0.020 f) None of the above

Assume that X is normally distributed with a mean of 5 and a standard deviation of...

Assume that X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x P(-x < X-5 < x) = 0.99 Can someone please explain in detail how to solve it with the help of the Cumulative Normal Distribution Table? Thanks!

Subjects