Question 1 (1 point)A student scored 70 points on a test where the standard deviation was 3.5. The s

Question 1 (1 point)A student scored 70 points on a test where the standard deviation was 3.5. The student’s zscore was 2.5. Find the test average.Question 1 options: 78.75 61.25 8.75 39.37 100.62Save Question 2 (1 point)The amount of Jen’s monthly phone bill is normally distributed with the mean of $70 and aStandard deviation of $9. According to the empirical rule, approximately what percentage ofher phone bills are less than $61?Question 2 options: 84% 16% 5% 97.5% 68%Save Question 3 (1 point)If the mean of the five values is 10.6. The four values are 20, 3, 10 and 8. Find thefifth valueQuestion 3 options: 8 12 6 11 13Save Question 4 (1 point)Three cards are randomly drawn from an ordinary deck of cards without replacement. Findthe probability of getting all three red cards.Question 4 options: 0.1176 0.7854 0.1250 0.8824 0.1834Save Question 5 (1 point)The table below shows the medal distribution from the 2000 Summer Olympic Games. Gold Silver Bronze United States 2 4 2 Russia 3 5 3 China 4 6 1 If one medal winner is chosen at random, find the probability that the winner was from theChina or won a gold medal.Question 5 options: 0.053 0.667 0.533 0.367 0.763Save Question 6 (1 point)In haw many different ways can we arrange 3 flags in order taking from 7 flags of differentcolors?Question 6 options: 7P3 7C4 3P7 7C3 3C7Save Question 7 (1 point)In a multiple choice quiz with five options in each questions, if there are 25 questions findthe variance of the number of correct answers (assuming student guesses on eachquestions).Question 7 options: 2 6 16 4 5Save Question 8 (1 point)A random sample of size 10 is taken from a population which has mean 18 and variance 5.Use Sampling Distribution of Sample Mean Rule to find the variance of the sample mean.Question 8 options: 9 2 25 0.1 0.5Save Question 9 (1 point)Find the expected value of the probability distribution given in table form XP(X) 5 4 3 1 0.1 0.2 0.3 0.4 Question 9 options: 3.5 2.6 0.26 2.96 1.8Save Question 10 (1 point)There are 10 women and 5 men. A committee of 4 women and 3 men is to be chosen for acommittee. How many different ways can a committee be formed?Question 10 options: 4C10+3C5 5C4*10C3 10C4*5C3 10C4+5C3 5C4*10C3 Save Question 11 (1 point)If a store has 15 different pants, 10 different shirts and 5 different hats. In how manydifferent ways can a costumer purchase a shirt, pant and a hat?Question 11 options: 125 75 750 30 300Save Question 12 (1 point)Use binomial probability formula to find the probability of getting exactly 4 Mexican American when 7 jurors are randomly selected from the population in which 65%are Mexican – American. Question 12 options: 0.5431 0.6394 0.7321 0.0268 0.2679Save Question 13 (1 point)Two cards are drawn from an ordinary deck of cards without replacement. Find theprobability of getting at least one queenQuestion 13 options: 0.15 0.75 0.65 0.85 0.25Save Question 14 (1 point)The following data shows the result from 20 pedestrian deaths that were caused byaccidents. Driver intoxicated Pedestrianintoxicated Pedestrian Notintoxicated 6 8 Driver Not intoxicated 4 2 if one pedestrian death is randomly selected, find the probability that the pedestrian wasintoxicated given that the driver was not intoxicated.Question 14 options: 3/5 2/3 4/7 2/7 5/9Save Question 15 (1 point)Assuming that the probability of a pea having a green pod is 0.15. When 12 peas are generated,use Binomial probability formula to find the probability of getting at least two green peas.Question 15 options: 0.8933 0.7564 0.1245 0.4434 0.5565Save Question 16 (1 point)Let Z follows standard normal distribution. FindP(Z > – 1.75)Question 16 options: 0.0959 0.46 0.0401 0.9599 0.401Save Question 17 (1 point)Let Z follows standard normal distribution.Draw the Z curve and find z0 whenP( -z0