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Chapter 4: Q.26 (page 284)

Find the probability that a physics major will do post-graduate research for at most three years. P(x≤3) = _______

Short Answer

Expert verified

The probability that a physics major will do post-graduate research for at most three years is:

P(x≤3)=0.70

Step by step solution

01

Given Information

A physics teacher wants to know what percentage of physics students will undertake post-graduate research in the coming years. He has the probability distribution supplied to him.

02

Concept Used

The probabilities of Xtaking different values can be summed as they are mutually exclusive events.

03

Calculation & Explanation

From the above table, probability that a Physics major will do post-graduate research for at most 3years that is: P(X≤3)is

P(1)+P(2)+P(3)=0.35+0.20+0.15=0.70

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Most popular questions from this chapter

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the number of fencers who do not use the foil as their main weapon.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many are expected to not to use the foil as their main weapon?

e. Find the probability that six do not use the foil as their main weapon.

f. Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon? Justify your answer numerically.

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

What values does Xtake on?

In words, define the random variable X.

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

Find the probability that Javier volunteers for less than three events each month. P(x<3)=_______
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