Out of a survey of 400 customers, under the assumption that 0.5 is the correct proportion, what is the probability that at least 181 people would be happy?

If the prevalence of a certain condition in the population is 0.1. What is the probability that at least one person out of sample of ten has the condition? Write as a proportion rounded to two places.

An insurance company issues a policy for a diamond ring worth $15,000 for an annual premium of $225.00. If the company figures the probability of the ring to be lost or damaged is 0.005, what is the company's expected profit?  Round your answer to nearest cent.  (e.g.  $135.789 would enter as 135.79)

According to a 2009 Reader's Digest article, people throw away about 11% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 79 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.18?Note: Calculate z to two decimal places.Answer =  (Enter your answer as a number accurate to 4 decimal places.)

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The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers.  A random sample of 100 orders will be used to estimate the proportion of first-time customers.  What is the probability that the sample proportion will be within .05?

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.28 and 0.46?

Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 175 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?

Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 119 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.37?

Out of 100 surgeries tracked in a study, 3 were followed by surgical site infections. Assume an underlying probability of infection p 5% for each surgery. What is the probability to obtain the exact infection rate calculated from the observations? Write as percentage with two decimal places and without percent sign. Your Answer: Answer