Please answer each question with options A, B, C, D, or the correct response:

1. A school committee needs 2 more students. How many ways can the committee be selected from a group of 10 students? 100 O 90 45 O 202. You need school supplies. You go to the store and see that there are 6 different backpacks, 8 notebooks, 3 packets of pens, and 8 folders to choose from. You decide to go to another store to see their selection. The second store had a third of the backpacks, half the notebooks, and triple the number of pens. How many folders would the new store need to have in order for there to be the same number of combinations of items to choose from in the second store than in the first store? B i U Font Family - AA* A3. The probability of winning the baseball game and winning the football game = 0.32. The probability of winning the baseball game = 0.54. Given that information, what is the probability of winning the football game? What is the probability of winning either the baseball game OR the football game? Explain your answers. 3 i U Font Family AA- A DE . E . E - 3904. In how many ways can you rearrange the letters in the word "COUNT," in order to get every possible outcome? O 25 O 150 O 120 O 105. A candy company claims that their bags of jellybeans have a mean weight of 9.45 oz. 125 randomly chosen bags of jellybeans were sampled, and it was discovered that their mean weight was 9.68 oz, with a standard deviation of 1.23 oz. Test this hypothesis using a 99% confidence level. Reject the null hypothesis. There is enough evidence to oppose the company's claim. Reject the null hypothesis. There is not enough evidence to oppose the company's claim. O Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim. )Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.6. When should the Empirical Rule be used? Bi U Font Family - AA- A F. UH- Y7. A bookstore sells books for $2, $3, $5, and $10. Let random variable X = "amount of money for one book." Look at the relative-frequency table below representing the amount of money spent on one item and the relative frequencies with which customers purchase them: x P(X = x) 2 .55 3 .26 5 .11 10 .08 If the expected amount of money spent by a customer is $3.23, what is the standard deviation? O o = 3.47 O o = 2.20 O = 1.80 O = 2.018. If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6? 16.67% O 33.33% O 3.57% O 2.78%9. If continuous random variable X is normally distributed with p = 5625 and o = 875.5, what is P(5000 s X s 6000)? 9.47% O 47.72% O 42.75% O 90.53%10. What is the probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die? O 25% O 8.3% O 4.2% O 10.7%11. Out of a sample of 760 people, 367 own their homes. Construct a 95% confidence interval for the population mean of people in the world that own their homes. O CI = (44.74%, 51.84%) O CI = (43.62%, 52.96%) CI = (46.87%, 52.56%) CI = (45.31%, 51.27%)12. What is required for a probability distribution to be considered binomial? B i U Font Family - AA - A E E\f14. Based on the histogram below, how are data distributed, and where is the mean located in relation to the median? O Negatively skewed, and the mean is to the right of the median. Negatively skewed, and the mean is to the left of the median. Positively skewed, and the mean is to the left of the median. O Positively skewed, and the mean is to the right of the median.15. You flip a coin 12 times. It lands on tails 9 times. What is the experimental probability of landing on heads? 0.50 0.75 0.33 O 0.2516. What is the expected value of the probability distribution of the discrete random variable X? x P(X = x) 2 .07 4 .19 6 .25 8 .11 10.07 12.30 14.01 O u = 11.21 OH = 7.72 O A = 71.52 OH = 10.9817. The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue facility. Green Blue Total Parrot 17 16 35 Parakeet 20 28 48 Total 137 44 83 Find the probability that a randomly selected bird is a parakeet given that it is green. O 32.7% O 41.7% O 54.1% 24.1%18. Given the following relative-frequency table for the probability distribution of X, what are the expected value () and the standard deviation ()? x P(X = x) 5 .10 10 .14 15.29 20 .47 Out = 17.98, 0 = 15.94 O u = 269.75, 0 = 4.98 OH = 15.65, 0 = 15.94 A= 15.65, 0 = 4.9819. How can you make a 95% confidence interval smaller without changing the confidence level? B i U Font Family - AA - A E 920. 300 high school students were asked how many hours of TV they watch per day. The mean was 2 hours, with a standard deviation of 0.5. Using a 90% confidence level, calculate the maximum error of estimate. O 5.66% O 7.43% O 4.75% 0.27%