How much does a house have to sell

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Question:

Suppose an advertising agency is conducting a survey concerning the effectiveness of commercials during the Super Bowl. If 30% of people watch the Super Bowl, and if the agency contacts 150 people what is the probability that at least 35% people that watched the game?

Suppose that an individual stock's return is normally distributed with a mean of 10% and a standard deviation of 8%. What is the probability that the stock's return will be at least 16%?

In the past, the value of houses a local realtor has sold is normally distributed with a mean of $252,000 with a standard deviation of $55,000. How much does a house have to sell for so that the house is in the top 2% of highest selling houses for the realtor?

The amount of gas a local gas station sells is random. The following describes the distribution of gasoline sales in a given day. There is a probability of 0.1 that the station will sell 1100 gallons of gas; there is a probability of 0.29 that the station will sell 1400 gallons of gas; there is a probability of 0.21 that the station will sell 1600 gallons of gas; otherwise, the station sells 2200 gallons of gas. What is the expected number of gallons the station sells in a day?

In the past, the value of houses a local realtor has sold is normally distributed with a mean of $252,000 with a standard deviation of $55,000. How much does a house have to sell for so that the house is in the top 2% of highest selling houses for the realtor?

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The paper is about the details of Probability and Normal Distribution. It talks about the method of calculation of probability for various scenarios where the random variable follows the normal distribution. The paper also calculates the expected value and the probability of the different cases in each question. The paper also calculates the expected value to determine the number of gallons sold by the company. The paper has been prepared using Microsoft Word and contains solution to all the question as in the requirement file.

Reference no: EM131172773

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