Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 7. Find the following probabilities, round to the fourth.a) What is the probability one randomly chosen score is greater than 88Would it be unusual for this to happen?Select an answer not unusual unusual  b) What proportion of scores were below a 45? Would it be unusual for this to happen?Select an answer unusual not unusual

hello I need answers to 3a,3b,3c please and thank you!

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

A recent survey reported that 38% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet? The probability is (Type an integer or a decimal. Round to four decimal places as needed.) d. What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six? The mean number of 18- to 29-year-olds who own tablets out of six surveyed is. (Type an integer or a decimal. Round to four…

You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 17.3% of the time. a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round your answer to 4 decimals. b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts. Mean: Standard Deviation (rounded to 2 decimals): c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? O No O Yes d) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam less than 58 times out of 400 attempts. Use the rounded standard deviation in your calculation. z-score (to 2 decimals) = probability (to 4 decimals, using the rounded z-score)

Part C only please. Thank you!

1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3)  A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? .  Give…