An insurance company has determined that each week an average of seven claims are filed in their Atlanta branch. (Round your answers to four decimal places.) (a) What is the probability that during the next week exactly four claims will be filed? (b) What is the probability that during the next week no claims will be filed? (c) What is the probability that during the next week fewer than four claims will be filed? (d) What is the probability that during the next week at least fourteen claims will be filed? Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.2676? −0.62 −0.61 0.61 0.62 x is a normally distributed random variable with a mean of 6 and a variance of 4. Find the probability that x is greater than 8.69. 0.0893 0.2506 0.7494 0.9107 The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. (Round your answers to four decimal places.) (a) What is the probability that the arrival time between customers will be 6 minutes or less? (b) What is the probability that the arrival time between customers will be between 2 and 6 minutes?
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According to a survey, 70% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers from 0 to 10. b. Find to 3 decimal places the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability =
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