(a) A type of lightbulb is labeled as having an average lifetime of 1000 hours. It's reasonable to model the probability of failure of these bulbs by an exponential density function with mean u 1000 (i) Use this model to find the probability that a bulb fails within the first 300 hours. (Round your answer to three decimal places.) (ii) Use this model to find the probability that a bulb burns for more than 700 hours. (Round your answer to three decimal places.) (b) What is the median lifetime of these lightbulbs? (Round your answer to one decimal place.) hr According to the National Health Survey, the heights adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches. (a) What is the probability that an adult male chosen at random is between 67 and 71 inches tall? (Round your answer to three decimal places.) (b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to one decimal place.)

Q: I = (1,2, 3, 4) 4. 3=? i=2

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A: 27

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A: It is related to binomial probability : P(X=x) = nCx*px*qx    p= 12/52 = 0.23 q= 1-(12/52) = 0.77

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A: Given:   It is of the form . Therefore,

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