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In the recent COVID-19 pandemic, a local precinct observed that of the 75 people who voted, 25 identified as republican, 30 were democrat, and 20 were “other”. Is this similar to pre-pandemic voting based on political party affiliations? At that same precinct, pre-pandemic voting based on political party affiliation was: 35%republican, 44%democrats, and 21% “other”. Enter in the 75 data points and expected values into SPSS to conduct the appropriate statistical test.


Find the probanility of getting.

a.fewer than 4 head.

b.exactly 4 head.

C.not more than 4 head.

d.two or more heads.


How many different committees of 5people can be chosen from 10 people

one of the characteristics of binominal experiment is that each trial can result in two or more outcomes?


Let the probability that a successful rocket launching will be equal to 0.4. Find,


Average number of trials required for the successful rocket launching.

The probability that the successful launching will be made on the third attempt.

The probability that successful rocket launching requires less than 5 attempts.


if X~B(n₁ = 5, p = 1/4) and Y~B(n = 8, p = 1/4).Then what is the distribution of X+Y?


Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect?

The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the scores is 4.1, and the sample comes from an approximately normal population, find the point and the interval estimates of the population mean adopting a confidence level of 95%. With explanation


The following output from MINITAB presents the results of a hypothesis test. Test of mu=49 vs. not=49, The assumed standard deviation 10.4, N 58, Mean 46.32, SE 1.412088, 95%CI (43.5523077, 49.0878923, Z -1.962526, P 0,049701, Do you reject H0 at the


1. On the day before an exam in an online class, students e-mailed questions to the professor at a rate of 1 every 20 minutes, exponentially distributed. Determine the probability that that the interval between succeeding messages is more than an hour.



2. For an exponential distribution, what is the probability that the value of the exponential random variable with parameter µ=3.2 will be having a value higher than 0.2353?



3. A normal distribution has a mean of 80 and a standard deviation of 12. What is the probability of selecting a value between 70 and 85?





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