The Probability That a Particular Brand of Smoke Alarm Will

question 174

Multiple Choice

The probability that a particular brand of smoke alarm will malfunction in the presence of smoke is 0.002.A batch of 100,000 such alarms was produced by independent production lines.Which of the following distributions would you use to figure out the probability that at most 5,000 of them will malfunction in case of a fire?

• A)Hypergeometric distribution.
• B)Poisson distribution.
• C)Binomial distribution.
• D)Uniform distribution.

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Definitions:

Compounded Semi-Annually

Interest calculation method where the interest is added to the principal sum twice a year, causing the interest to earn interest.

Strip Bond

A type of bond where the principal and regular coupon payments have been separated and are sold individually as zero-coupon bonds.

Interest

The cost of borrowing money, typically expressed as a percentage of the borrowed amount, paid by the borrower to the lender.

Effective Rate

The actual interest rate of an investment or loan when the compounding frequency is accounted for, giving a true reflection of the cost or yield.