Math 150 Midterm 2- 3. (18 points) Multiple Choices. (a) (2 points) Given that P
ID: 3360210 • Letter: M
Question
Math 150 Midterm 2- 3. (18 points) Multiple Choices. (a) (2 points) Given that P(A) 0.685, what is P(A)? A. 0 C. 0.685 D. 1 (b) (2 points) Fifteen of the 50 iPhone X in an inventory are known to be defective. What h the probability you randomly select an iPhone X that is not defective? A. 15% B. 30% C.50% D, 70% (c) (2 points) When a fair coin is tossed 2000 times, the result consists of exactly 1000 heads. The probability of getting exactly 1000 heads in 2000 tosses is 0.0178. Is this result unlikely? Is 1000 heads usually low or usually high? A. Unlikely, usually low B. Unlikely, usnally high C. Unlikely. neither usnally low nor usually high D. Likely, neither ustually low nor usually high E. Cannot be determined based on the information given (d) (2 points) Which of the following is not a requirement of the binomial probability distribu- tion? A. The trials must be dependent B. Each trial must have all outcomes classified into two categories. C. The procedure has a fixed number of trials D. The probability of a success remains the same in all trials. (e) (2 points) Randomly selkecting 50 adults and asking if they like rap muisic, recording Yes or No. Deternine whether this given procedure results in a binomial distribution. If it is not binomial, ideutify the requirements that are not satisfied. We assume that we know nothing about these 50 adults' music taste before asking. A. No, because there are more than two poesible outcomes and the trials are dependent. B. No, because the probability of success does not remain the same in all trials. C. No, because there are more than two possible outcomes. D. Yes, because all 4 requirements are satisfied. (1) (2 points) Which of the following values are not probabilities (choose ALL answers that apply)? A. 8:7 C. 4/3 D. 0 E. (2 points) A couple is giving birth to three babies. Assuming that boys and girls are equally likely, what is the probability that among those three babies at least one is girl? (g) D. S E. B.Explanation / Answer
b) The probability that a non defective piece is taken out is computed as:
= number of non defectives / Total
= 35/50
= 0.7
Therefore 0.7 is the required probability here.
c) The probability of getting exactly 1000 heads is unlikely as the probability is low but this is nether low nor high as the expected number of heads is 1000 for a fair coin.
Therefore C is the correct answer here.
d) All the trials must be independent in a binomial distribution, not dependent.
Therefore A is the correct answer here.
e) No for different people, probability whether they like to rap or not would be different. Therefore this condition is not satisfied here and therefore,
Therefore B is the correct answer here.