Statistics and Probability Answers

A quality control engineer knows that a flash drive produced by a company pass the company’s standard 95% of the time. He usually does a random checking of 20 flash drives from the day’s production and approves the whole production when no more than flash drives fail to meet the standards. What is the probability that the quality control engineer accepts the whole production for the day?

The principal claims that the students in his school are above average intelligence. A random sample of 35 IQ scores have a mean score of 110.5. Is there sufficient evidence to support the principal’s claim? The mean population IQ is 100 with a standard deviation of 25. Use =1%.

suppose that no of accident occuring on high way is possion with random vairables lamda=3

Find each of the following percentile points under the normal curve.

1. P90
2. P68
3. P40
4. P32

Find the area between z = -1.35 and z = 2.95?

*

200 graduating students are selected and it is found that 114 will be awarded the first class honors degrees calculate the 95% confidence interval for the proportion of the graduating students who will receive first class honors degrees

Two hundred graduating students are selected and it is found that 114 will be awarded the first class honors degrees. calculate the 95% confidence interval for the proportion of the graduating students who will receive first class honor degrees

The maen travel time of light Puerto princesa city -iloilo is said to be 1.5hours .A certain airfare company recorded 20 different flights actual travel time.the mean is 2 hours with a standard deviation of 0.6hours .

Using the data below, perform the following tasks

23 26 29 32 35

A. Construct a sampling distribution of the mean when n=3

B. Draw a histogram for the sample means

Show that

f(x)=(1/2)^(x+1) , x = 0, 1, 2, 3, 4, 5,...

is a valid PMF for a discrete random variable. Also find

out its CDF.