Chapter 4: Q.25 (page 284)
Find the probability that a physics major will do post-graduate research for four years.
Short Answer
The probability that a Physics major will do post-graduate study for years is 0.15 that is
Chapter 4: Q.25 (page 284)
Find the probability that a physics major will do post-graduate research for four years.
The probability that a Physics major will do post-graduate study for years is 0.15 that is
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Get started for freeA group of Martial Arts students is planning on participating in an upcoming demonstration. Six are students of Tae Kwon Do; seven are students of Shotokan Karate. Suppose that eight students are randomly picked to be in the first demonstration. We are interested in the number of Shotokan Karate students in that first demonstration.
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 Shotokan Karate students do we expect to be in that first demonstration?
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 11 California residents. We are interested in the number who have adequate earthquake supplies.
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. What is the probability that at least eight have adequate earthquake supplies?
e. Is it more likely that none or that all of the residents surveyed will have adequate earthquake supplies? Why?
f. How many residents do you expect will have adequate earthquake supplies?
A theater group holds a fund-raiser. It sells 100 raffle tickets for \(5 apiece. Suppose you purchase four tickets. The prize is two passes to a Broadway show, worth a total of \)150.
a. What are you interested in here?
b. In words, define the random variable X.
c. List the values that X may take on.
d. Construct a PDF.
e. If this fund-raiser is repeated often and you always purchase four tickets, what would be your expected average winnings per raffle?
An instructor feels that 15% of students get below a C on their final exam. She decides to look at final exams (selected randomly and replaced in the pile after reading) until she finds one that shows a grade below a C. We want to know the probability that the instructor will have to examine at least ten exams until she finds one with a grade below a C. What is the probability question stated mathematically?
Define the random variable .
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