Statistics and Probability Answers

In a random sample of 80 ears of corn, Mr. Ntow, a farmer finds that 9 of them have worms. Mr. Ntow claims that fewer than 20% of all his corn has worms. Using the P-value method, test this claim at the 0.05 significance level.

A significance test for means gave a t =-1.97 with degrees of freedom 10.
Can you reject the null hypothesis when you have a non-directional test at the 5% significance level?

A significance test for means gave a t =-1.97 with degrees of freedom 10.
Can you reject the null hypothesis when you have a non-directional test at the 5% significance level?

Suppose that a box contains 7 cameras and that 5 of them are defective. A sample of 3 cameras is selected at random (without replacement). Define the random variable
X
as the number of defective cameras in the sample.

Write the probability distribution for
X
.

A bag contain 4 red balls and 6 white balls two balls are drawn without replacement
(I)find the probability that the second ball is white given that the first ball is red
(Ii) find the probability that the second ball is red given that the first ball is white

A computer program is tested by three independent tests. When there is an error these tests will discover it with probabilities 0.2, 0.3, 0.5 respectively. Suppose that the program contain an error. What is the probability that it will be found by at least one test?

A die has been loaded sop that the probability of rolling an even number is 2/9 and the probability of rolling an odd is 1/9. What is the probability of.
(i) rolling a 6, given that an even number is rolled
(ii) rolling a 3, given that an odd number is rolled.

Under good weather conditions, 80% of flights arrive in time. During a bad weather only 30% of flights arrive on time. Tomorrow the chance of good weather is 60% what is the probability that your flights arrive in time?

Suppose you just received a shipment of nine televisions. Two of the televisions are defective. If two televisions are randomly​ selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not​ work?

QUESTION TWO 15 Marks Suppose that the operations manager of a nose mask packaging delivery service is contemplating the purchase of a new fleet of trucks during this COVID-19 period. When packages are efficiently stored in the trucks in preparation for delivery, two major constraints have to be considered. The weight in pounds and volume in cubic feet for each item. Now suppose that in a sample of 200 packages the average weight is 26.0 pounds with a standard deviation of 3.9 pounds. In addition suppose that the average volume for each of these packages is 8.8 cubic feet with standard deviation of 2.2 cubic feet. How can we compare the variation of the weight and volume?