Statistics and Probability Answers

Joe, a DOH COVID-19 tracker, found out that the number of infected 

persons of COVID-19 in seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, 

and 10. Suppose that 5 provinces are drawn as sample

Consider all samples of size 5 from this population:2,4,5,6,7.

*List all samples of size 3 and compute the mean for each sample

Determine whether the random variable x is discrete or continuous. Explain.

• . Let x represent the number of cars in a university parking lot.
• Let x represent the length of time it takes to complete an exam.
• Let x represent the number of times a book is issued from the library.
• Let x represent the number of tornadoes in the month of May in Oklahoma.
• Let x represent the weight of a student’s school bag.

Construct a probability distribution, graph the probability distribution using a histogram and describe its shape.

•  Cars The number of Sedan cars per household in a small town

Cars 0 1 2 3

Households 598 462 381 259

• Use the probability distribution you made in the exercise below to find the probability of randomly selecting a household that has (a) one or two cars, (b) less than two cars, (c) between one and three cars, inclusive, and (d) at least two cars.
• In the exercise, would it be unusual for a household to have three Sedan cars? Explain your reasoning.

The maximum likelihood estimate for λ

 of a Poisson distribution P(X=x)=f(x,λ)

1.what is the z-score of 40 in a math test when the mean is 58 with a standard deviation of 9?

What are the elements of the set of outcomes when three coins tossed?

What are the elements of the set of outcomes when three coins are tossed?

consider all samples with the size of 5 from population 2 5 7 9 10 11 12

A. computer population mean

B. compute the population variance

C. computer population standard deviation

D. compute the mean of sampling distribution of the sample means and compare it the mean of the population.

E.compute the variance of sampling distribution of the sample means

F.compute a standard deviation of the sampling distribution of the sample mean

in a study conducted by national telecommunication commission (NTC), the average internet speed of Philippines is 10.5 mbps and standard deviation of 1.1mbps. what is the probability that a random sample of 100 user will have combined Internet speed between 8.4 mbps and 9.4 mbps