Review for Probability and Statistics CFA

Which number represents the probability that an event is unlikely to occur?

• 0.1

• 0.5

• 0.75

• 1.2

Coach Parker used data from the games played so far this season to determine the probability that a player will likely throw a strike. The data for his 5 pitchers is shown in the table.

Which player is least likely to throw a strike?

• Deion

• Cam

• Ben

• Jack

Jessa has a box of markers in her bookbag. She has 2 black, 2 brown, 1 blue, 1 green, 1 red, 1 orange. Without looking, what is the probability that Jessa will select a brown marker.

• 1/8

• 2/8 simplified to 1/4

• 2/6 simplified to 1/3

• 1/6

Greg works for Georgia Power. There are 40 electricians in his building. 14 of the electricians are women and 26 are men. The supervisor put all of the electricians names in a hat and will draw one out to give a prize. What is the theoretical probability that he will draw a man's name?

• 7/13

• 13/20

• No chance

• 1/40

Brent is spinning a spinner 100 times and recording the color he lands on. The spinner has 5 sections that are equal sized. He recorded the data in the table. Are the outcomes equally likely?

• Yes, because the probabilities add up to 1.

• No, because the probabilities don't add up to 1.

• Yes, because the probability of each outcome is the same.

• No, because the probability of each outcome is not relatively close to one another.

An analyst is comparing the ages of male and female golfers. Both male and female golfers were surveyed about their age. The dot plot shows the results. What is the difference between the median for both sets?

• 10 years

• 11 years

• 12 years

• 13 years

The dot plot shows the number of books read by two seventh grade classes. Which statement is best supported by the data?

• The data from first period is more spread out than the data from second period.

• The range of data is higher for first period than it is for second period.

• The median number of books is higher in first period than it is for second period.

• The maximum number of books read is higher for first period than it is for second period.

Jackson has a standard die with the numbers 1-6. Hey says that the theoretical probability of landing on a three is 1/6. He rolls the die 10 times and lands on three 4 times. He calculates the experimental probability as 2/5. Which of the following represents the discrepancy between the experimental and theoretical probabilities?

• The sides of the die are not equal. The number 3 is probably on a bigger side.

• Jackson calculated the theoretical probability incorrectly and it should also be 2/5.

• Jackson only rolled the die 10 times. If he rolled more it would get closer to the theoretical probability.

• The experimental probability will never be exactly 1/6. It is just an approximation.

A random survey was conducted to determine the number of students who played different sports in 2018 and 2019. The results are shown on the bar graph. Based on the results, which inference about the data is valid?

• More students played football than chess in the two year span.

• More students played tennis in 2018 than football in 2019.

• Cricket was the favorite sport of those surveyed in 2019.

• The number of people playing cricket in 2018 and football in 2019 combined is equal to the number of people playing chess in 2018.

Which of the following statements best describes the relationship between theoretical and experimental probability.

• Experimental and theoretical probabilities can be close but never equal.

• As the number of trials increases, the experimental probability gets closer to the theoretical probability.

• As the number of trials decreases, the experimental probability gets closer to the theoretical probability.

• As the theoretical probability increases, the experimental probability should get closer to the theoretical probability.