D3 a product is either rectangular or triangular. What is the probability that, in a random sample of 10 units, there are more than 8 rectangular units of product? Round your answer to 4 decimal places. Assume that the population proportion of rectangular products is the same as the sample proportion of rectangular products

If a variable is Normal (µ = 10, σ = 1.2)
to. Find the probability that X is between 10 and 12. (10 points)
b. Calculate the X corresponding to the 80% percentile (10 points)
c. Find the probability that X is greater than 9 (10 points)
d. If a sample of 15 data is taken, calculate the probability that the average is between 9.2 and 10. (10 points)
and. Calculate the 90% percentile of the average of X if the sample is 15 data. (10 points)
F. If you sample 10 data, find the probability that the Total is between 105 and 120. (10 points)

The probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. If you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons.

There are 4 people in a room. What’s the probability that there are two people born on the same day of the week? (Assume all birthdays are independent and are uniformly distributed over the seven days of the week.)

a give the probability of getting a sequence of Gold then Silver then Blue on three consecutive spins. b.If the wheel is spun four times, give the probability of getting Blue only on the fourth spin. c.Give the probability of getting at least one Blue on five consecutive spins. there are 4 red spaces, 2 blue, one gold, and one silver space.

The dean of the a school has observed for several years and found that the probability distribution of the salary of the alumni’s first job after graduation is normal. The college collected information from 144 alumni and finds that the mean of their salary is $58k. Assuming a 95% confidence level, please do the following

1. Suppose the dean believes that the average salary of the population should be about $59k per year, with a standard deviation of $2k. We need to conclude that the mean salary is less than what the dean has believed to be:

(a) What are the null and alternate hypotheses ?

(b) What is the level of significance ?

(c) What is the standard error?

(d) Decide on the test statistic and calculate the value of the test statistic (hint: write the equation and calculate the statistic?

(e) What’s your decision regarding the hypothesis and interpret the result using test-score rejection region rule or p value rule.

When someone buys a ticket for an airline​ flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 17 passengers. Is it wise to book 19 passengers for a flight on the​ jet? Explain. Determine whether or not booking 19 passengers for 17 seats on the jet is a wise decision. Select the correct choice below and fill in the answer box in that choice with the probability that there are not enough seats on the jet. ​(Round to four decimal places as​ needed.)

In order to find out the probability that a student will bring a car to campus, 100 students are polled. Of those students, 85 have cars to bring to campus.

a) Find a point estimate for the proportion of students who will bring a car to campus.

b) For the 95% confidence level, find zc, the critical value for the given confidence level.

c) For the 95% confidence level, find the error, E, for the confidence interval (round your answer to two decimal places).

d) Find the 95% confidence interval for the proportion of students who bring their car on campus.

e) Which of the following (1-4) is the correct interpretation of the confidence interval?

----1) We are 95% confident the proportion of students who will bring their car to campus is larger than .78.

----2) We are 95% confident the proportion of students who will bring their car to campus is between .78 and .92.

----3) We are 95% confident that the probability that a random student will bring a car to campus is between .78 and .92.

----4) The proportion of students who will bring their cars to campus is between .78 and .92.

f) The study that was done was a preliminary study and the school will need to repeat the poll to get a 95% confidence interval. What should be the sample size in order for the error to be less than .08?