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Chapter 5: Q. 8 (page 309)

Due to a hit A very good professional baseball player gets a hit about 35% of the time

over an entire season. After the player failed to hit safely in six straight at-bats, a TV

As one commentator said, “He is due for a hit.” Explain why the commentator is wrong.

Short Answer

Expert verified

According to the data provided in this issue, this baseball player had a chance of hitting a home run over the course of a season

Step by step solution

01

 Step 1: Given information 

We have to tell that why the commentator is wrong.

02

 Step 2: Explanation 

We must determine whether the TV announcer was correct in predicting that the time baseball player would hit based on the lowest of averages.

According to the data provided in this issue, this baseball player had a 35% chance of hitting a home run over the course of a season. This player missed a hit 66 times in a row in this game.

The analyst predicted that this baseball player would be hit by the lowest of averages the next time.

We can't apply low averages to a short number of at-bats, hence this statement is incorrect. As a result, this player has a 35percent chance of hitting in the next round.

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Most popular questions from this chapter

Cell phones The Pew Research Center asked a random sample of 2024adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random.

  1. Find P(iPhone | 18-34)
  2. Use your answer from part (a) to help determine if the events “iPhone” and "18-34"are independent.

Who eats breakfast?Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast on a regular basis?” All 595students in the school responded to the survey. The resulting data are shown in the two-way table.

Suppose we select a student from the school at random. Define event Fas getting a female student and event Bas getting a student who eats breakfast regularly.

a. Find P(BC)

b. Find P(FandBC). Interpret this value in context.

c. Find P(ForBC).

Reading the paper In a large business hotel, 40% of guests read the Los Angeles Times. Only 25% read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What’s the probability that the person reads the Los Angeles Times or the Wall Street Journal?

a. Make a Venn diagram to display the outcomes of this chance process using events L:reads the Los Angeles Times and W: reads the Wall Street Journal.

b. Find PLC∩W.

The security system in a house has two units that set off an alarm when motion is

detected. Neither one is entirely reliable, but one or both always go off when there is

motion anywhere in the house. Suppose that for motion in a certain location, the

probability that detector A goes off and detector B does not go off is 0.25, and the

probability that detector A does not go off is 0.35. What is the probability that detector

B goes off?

a.0.1b.0.35c.0.4d.0.65e.0.75

Suppose this player attempts 10shots in a game and makes only 3of them. Does this provide convincing evidence that she is less than a 47%shooter?

a. Yes, because 3/10(30%) is less than 47%

b. Yes, because she never made 47%of her shots in the simulation.

c. No, because it is plausible (believable) that she would make 3or fewer shots by chance alone.

d. No, because the simulation was only repeated 25times.

e. No, because more than half of the simulated results were less than47%
See all solutions

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