Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 89 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.26 and 0.45?

Based on historical data, your manager believes that 39% of the company's orders come from first-time customers. A random sample of 212 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.22 and 0.42?

Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 133 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?Answer =  (Enter your answer as a number accurate to 4 decimal places.)

In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 141. What is the probability that the sample proportion will be at most 4 percent more than the population proportion? (Enter your answer as a number accurate to 4 decimal places.)

Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.

Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 168 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 0.41? (Enter your answer as a number accurate to 4 decimal places.)

Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 147 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?Answer =  (Enter your answer as a number accurate to 4 decimal places.)

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?

According to the Disney Times, 37% of all people in NeverNeverLand are digitally illiterate. Suppose you randomly select eleven people off a city street.  Make a probability distribution of the number of digitally illiterate people out of the eleven in the sample. Make a histogram showing the probability distribution of the number of digitally illiterate people out of the eleven people in the sample. Find the mean and standard deviation of the probability distribution. Find the probability of out of eleven people, at least 5 are digitally illiterate. Find the probability of out of eleven people, at most 8 are digitally illiterate. Find the probability of out of eleven people, between 6 and 9, inclusive, are digitally illiterate.