Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.58 million visitors per day and a standard deviation of 700,000 visitors per day. (a) What is the probability that the web site has fewer than 5 million visitors in a single day? If needed, round your answer to four decimal digits. 0.7549 (b) What is the probability that the web site has 3 million or more visitors in a single day? If needed, round your answer to four decimal digits. 0.9850 (c) What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits. 0.2167 (d) Assume that 85% of the time, the Smiley's People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smiley's People to purchase additional server capacity? If needed, round your answer to two dedimal digits. 5.25 million visitors per day

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?

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?

At night, John works occasionally as a waiter for his family's restaurant for which his monthly income is normally distributed with a mean of $1,579 and a standard deviation of $103. What is the probability that John will earn between $1,322 and $1,764 this month? (Keep 4 decimal places).

Assume that the number of days from conception to birth is normally distributed with a mean of 258 days and a standard deviation of 10 days. What is the probability that my pregnancy will be between 238 and 278 days? O 75 85 47.5 98 O 95

r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of  510  and a standard deviation of  170 . The grading process of this year's exam has just begun. The average score of the  40  exams graded so far is  526 . What is the probability that a sample of  40  exams will have a mean score of  526  or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.​(Hint: Draw a​ graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____

Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard deviation of 21. Find the probability that a randomly selected adult has an IQ greater than 134.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 134.1 is (Round to four decimal places as needed.)

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.964 grams and a standard deviation of 0.296 grams. Find the probability of randomly selecting a cigarette with 0.668 grams of nicotine or less. Round your answer to four decimals.

Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh?  Find the probability that a house costs less than $100,000.  If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?