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Fill the box of your choice with BLACK INK until you hit the correct answer 1 bo

ID: 3915307 • Letter: F

Question

Fill the box of your choice with BLACK INK until you hit the correct answer 1 box: 3 points; 2 boxes: 2 points; 3 boxes: 1 point. The highest score available is 10 points 1. A broken typewriter is missing the B-key and the C-key. How many arbitrary 4-letter words can it produce? A.244 B.254 C.24-23.22.21 D. 2. A car company sold 62,148 of its most popular car, Model X, in 2017 in the United States. Which of the following is true based on this information? A. The company sold at least 1243 Model X's in at least one state. B. The company sold at least 1242 Model X's in at least one state. C. The company sold at least 1243 Model X's in several states. D. The company sold at least 1242 Model X's in several states. 3. What is the probability that a five-card poker hand contains exactly two spade cards? C(13,2) C(52, 5) C(39,3) C(52,5) C(13,2) C(39,3) C(52,5) A. B. D. C(52, 5) University X's incoming class of 2021, 60% are female and 40% are male. Of the female tudents, 50% choose to take math in freshman year. Of the male students, 75% take math in freshman year true? 4. Of r. If a random student takes math in the freshman year, which of the following is A. The student is more likely to be male. B. The student is more likely to be female. C. The student is equally likely to be male or female. D. The information is insufficient for us to determine.

Explanation / Answer

1) A, all the 4 places can be occupied any of the 24 letters so 24x24x24x24

2) C, USA has 50 states: 62148/40 = 1242.96 So if all the states get 1242 it will be equal to 1242*50 = 62100. i.e. 48 extra X's, meaning several states will get 1243 X

3) C, probability exactly 2 spades is C(13 2) C(39 3) divided by total probability which is c(52 5)

4) A

p(F)=0.6
p(M)=0.4
p(Math and F)=0.5
p(Math and M)=0.75

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