Question

In: Statistics and Probability

Overall, the amount of work-hours involved in the festival preparation is normally distributed around 50 hours...

Overall, the amount of work-hours involved in the festival preparation is normally distributed around 50 hours with a standard deviation of 6 hours.

a) What’s the probability that the mean number of work-hours will be between 20 and 30?

b) The members at or below the 15%ile of number of worked-hours must attend a one-on-one meeting with their supervisor. At least how many work-hours you should have in order to avoid attending such session?

c) How likely (what is the probability) is it to have the number of involved work-hours below 50?

d) How likely (what is the probability) is it that some employee will have his/her involved work-hours between 48 and 53?

e) Compute the upper 10%ile.

(Please type answers if possible--handwriting is hard to read)

Expert Solution

#Solution:

Ansa. Probability between 20 and 30

Ansb. Least work hours need to avoid session

One must have at least 44 work hours to avoid such session.

Ans c. Work hours below 50

Ans D: Work hours between 48 and 53

Anse Top 10%percentile

orchestra answered 1 year ago

Overall, the Miles Per Gallon for customers of MallState is normally distributed around 34 MPG with...

Overall, the Miles Per Gallon for customers of MallState is normally distributed around 34 MPG with a standard deviation of 2.5 MPG. In looking to reward environmentally friendly drivers, the insurer decides to reward drivers whose cars rank in the top 10%ile of MPG. What is the top 10%ile and which guest(s) from problem G would benefit from this program?

The life of a ventilator is normally distributed with a mean of 9000 hours and a...

The life of a ventilator is normally distributed with a mean of 9000 hours and a standard deviation of 500 hours. (a) What is the probability that the ventilator fails before 8000 hours? (b) What is the life in hours that is exceeded by 96% of the ventilators? (c ) If 20 such ventilators are used in a hospital, and they are assumed to fail independently, what is the probability that all 20 are still operating after 7500 hours?

Assume that the amount of cornflakes in a box is normally distributed with a mean of...

Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...

The life in hours of a certain type of lightbulb is normally distributed with a known...

The life in hours of a certain type of lightbulb is normally distributed with a known standard deviation of 10 hours. A random sample of 15 lightbulbs has a sample mean life of 1000 hours. What would the 99% lower-confidence bound L on the mean life be, rounded to the nearest integer?

The lifetimes of light bulbs are normally distributed with a mean of 500 hours and a...

The lifetimes of light bulbs are normally distributed with a mean of 500 hours and a standard deviation of 25 hours. Find the probability that a randomly selected light bulb has a lifetime that is greater than 532 hours. SHOW FULL WORK!

The lifetime of a semiconductor laser is normally distributed with a mean of 7000 hours and...

The lifetime of a semiconductor laser is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. A product contains three lasers, and the product fails if any of the laser fails. Assuming that the lasers fail independently, would the product lifetime exceed 10,000 hours of use before failure with a probability of 99%. If not, recommend a n alternative lifetime distribution for the lasers.

The work week for adults in the US that work full time is normally distributed with...

The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give...

The lifetime of light bulb is normally distributed with mean of 1400 hours and standard deviation of 200 hours.

The lifetime of light bulb is normally distributed with mean of 1400 hours and standard deviation of 200 hours. a. What is the probability that a randomly chosen light bulb will last for more than 1800 hours? b. What percentage of bulbs last between 1350 and 1550 hours? c. What percentage of bulbs last less than 1.5 standard deviations below the mean lifetime or longer than 1.5 standard deviations above the mean? d. Find a value k such that 20% of the bulbs last...

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

The ages of a group of 50 women are approximately normally distributed with a mean of...

The ages of a group of 50 women are approximately normally distributed with a mean of 51 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. a. Find the probability that her age will fall between 56 and 61 years. b. Find the probability that her age will fall between 48 and 51 years. c. Find the probability that her age will be less than 35 years ....