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A light fixture contains 2 light bulbs. The lifetime Xi of each bulb is exponentially distributed with a mean of 200 hours, i= 1,2,3. Suppose bulb lifetimes are independent from one another. Let T equal the time until a bulb in the fixture needs replacement.
a) What is the paramater Lamda of the exponential distribution?
b) What is the probability that X1 > 100 hours?
c) What is the expected value of X1?
d) What is the probability P(X1 > 100 and X2 > 100 and X3 > 100)?
e) What is the probability P(T > 100)?
f) If t is any positive number fine P(T > t)?
g) If t is any posivtive number fine P(T ? t)?
Experts claim that 10% of murders are committed by women. is there enough evidence to reject the claim if in a sample of 67 murders, 10 of them were committed by women? use a significance level of .01
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Consider a Poisson distribution with a mean of two occurrences per time period.
How large a sample size will need to be selected if we wish to have a 99% confidence interval with a margin for error of .25 hours?
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an american roulette wheel has 38 slots 18 are red 18 are black and 2 are green. let r be the number of spins until you
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return.
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At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
a survey of 144 retail stores revealed that the average price of a microwave was 375 with a standard error of 20 if 95
a. What z-score separates the highest 25% from the rest of the scores?
how many times should a coin be tossed to obtain a probability of equal to or greater than 0.9 of observing at least
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