There is a process of laminating the gum at 0.08 inches and with a deviation of...

There is a process of laminating the gum at 0.08 inches and with a deviation of .01. What is the probability that a rubber flake will come out with more than 0.09 if you take a sample 5 flakes?

Solutions

Expert Solution

Solution :

Given that,

mean = = 0.08

standard deviation = = 0.01

n=5

= =0.08

= / n = 0.01 / 5 = 0.004

P( > 0.09) = 1 - P( < 0.09)

= 1 - P[( - ) / < (0.09-0.08) / 0.004]

= 1 - P(z < 2.5)

Using z table

= 1 - 0.9938

probability= 0.0062

orchestra answered 1 year ago

Next > < Previous

Related Solutions

the average height of a man is 67 inches with a standard deviation of 1.5 inches....

the average height of a man is 67 inches with a standard deviation of 1.5 inches. A) what is the probability of selecting a man that is taller than 65.5 inches? B) what is the probability of selecting a man that has a height that is between 64 and 65.5 inches? C) what is the probability of selecting a man that is shorter than 64 inches?

Assume a security has an expected return of .12 and a standard deviation of 0.08 a)...

Assume a security has an expected return of .12 and a standard deviation of 0.08 a) What is the expected return two standard deviation above the mean and what is the probability of a return greater that this amount? B) What is the probability of a return greater than 0.04 for a given year.

Women's heights are normally distributed with mean 64 inches and a standard deviation of 2.5 inches....

Women's heights are normally distributed with mean 64 inches and a standard deviation of 2.5 inches. (a) What percent of women are less than 60 inches tall? (b) The requirement of all Navy pilots is between 62 inches and 78 inches. What percent of women meet the Navy requirement? (c) If the Navy changed its requirement to eliminate the "shortest" 5% of all women, what would the requirement be on the lower end of the scale?

A large amateur basketball league has an average height of 76 inches with a standard deviation of 1.8 inches

A large amateur basketball league has an average height of 76 inches with a standard deviation of 1.8 inchesa. if one player is randomly selected, find prob that his height is over 78 inchesb. if 36 players are randomly selected, find prob that the mean height for the sample is over 78 inches

Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that males have heights between 64 inches and 78 inches. What percentage of males are eligible for the Marines based on height?

The heights of women aged 18– 24 are approximately Normal with mean 65 inches and standard deviation 2.5 inches.

The heights of women aged 18– 24 are approximately Normal with mean 65 inches and standard deviation 2.5 inches. A) What range contains the middle 95% of women heights? B) What percentage of women is taller than 67.5 inches? C) What percentage of women are taller than 70 inches? D) How tall are the tallest 5% of women?

Calculate the standard deviation of the following returns. Year Return 1 0.23 2 -0.08 3 0.03...

Calculate the standard deviation of the following returns. Year Return 1 0.23 2 -0.08 3 0.03 4 -0.09 5 0.17 Enter the answer with 4 decimals, e.g. 0.1234. Calculate the variance of the following returns. Year Return 1 -0.2 2 -0.08 3 -0.08 4 0.19 5 0.21 Enter the answer with 4 decimals, e.g. 0.1234.

The daily market return follows a Normal distribution with mean 0.08/252 and standard deviation 0.15/?252. The...

The daily market return follows a Normal distribution with mean 0.08/252 and standard deviation 0.15/?252. The risk-free rate is 0.02. CAPM Betas of stock A and B are 2.1 and 0.5, respectively. All alphas are zero. Idiosyncratic volatilities of stock A and B are 0.12/?252 and 0.14/?252, respectively. The current price of stock A and B are $100/share and $200/share, respectively, and you sell short them. Initial margin rate is 50% and the maintenance margin is 30%. Compute probability that...

For a particular group of people the average height is 70 inches and the standard deviation...

For a particular group of people the average height is 70 inches and the standard deviation is 3.6 inches. We can assume that the distribution is Normal (Gaussian). Answer the following questions either via simulations (use 10000 points) or via “rule of thumbs”. I). What is the approximate probability that a randomly picked person from this group will be shorter than 70 inches? Pick the closest answer. (6.66 points) a. About 20% b. About 30% c. About 50% d. About...

Heights of fences are normally distributed with a mean of 52 inches and a standard deviation...

Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches. 1. Find the probability that one randomly selected fence is under 54 inches. 2. Find the probability that two randomly selected fences are both under 54 inches. 3. Find the probability that the mean height of 4 randomly selected fences is under 54 inches.

Subjects