Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 81 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.25 and 0.5? (Enter your answer as a number accurate to 4 decimal places.)

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.

Suppose 49% of the registered voters in a country are Republican.   If a sample of 701 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by greater than 4%? Round your answer to four decimal places.

Suppose 59% of the students in a university are baseball players. If a sample of 632 students is selected, what is the probability that the sample proportion of baseball players will be greater than 63%? Round your answer to four decimal places.

If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

A blood test for diabetes gives a positive result with a proportion of 0.22 when an individual has diabetes and a negative result with a proportion of 0.11 when they do not. Approximately a proportion of 0.66 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 110 employee absences. The distribution of these 110 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 110 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-fE) (Observedrequency Expectedrequency JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. 2 Round your responses to three or more decimal places. (SO-SE)² SE Send data…

A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this population.   what is the probability that the sample proportion is between 0.53 and 0.56? What is the probability that the sample proportion is less than 0.49?