Quiz: Chapter 6 Quiz Submit Quiz This Question: 1 pt 6 of 8 (0 complete) | This
ID: 2922260 • Letter: Q
Question
Quiz: Chapter 6 Quiz Submit Quiz This Question: 1 pt 6 of 8 (0 complete) | This Quiz: 8 pts possible The average price of a television on a certain Web site is $830. Assume the price of these televisions follows the normal distribution with a standard deviation of $180. Complete parts a through d below. a. What is the probability that a randomly selected television from the site sells for less than $700? (Round to four decimal places as needed.) b. What is the probability that a randomly selected television from the site sells for between $400 and $500? L (Round to four decimal places as needed.) c. What is the probability that a randomly selected television from the site sells for between $900 and $1,000? (Round to four decimal places as needed.) d. There are 12 televisions on the site. How many televisions are within a $800 budget? There are televisions on the site that are within a $800 budget Round down to the nearest whole number.)Explanation / Answer
= 830 = 180
Z = (X - ) /
a. X = 700
=> Z = (700 - 830) / 180 = -0.7222
From the table, the probability is 0.2351.
b. X = 400
=> Z = (400 - 830) / 180 = -2.3889
From the table, the probability is 0.0084
X = 500
=> Z = (500 - 830) / 180 = -1.8333
From the table, the probability is 0.0334
=> P(400 < Z < 500) = 0.0334 - 0.0084 = 0.0250.
c. X = 900
=> Z = (900 - 830) / 180 = 0.3889
From the table, the probability is 0.6513
X = 1000
=> Z = (1000 - 830) / 180 = 0.9444
From the table, the probability is 0.8275
=> Z(900 < Z < 1000) = 0.8275 - 0.6513
= 0.1762.
d. X = 800
=> Z = (800 - 830) / 180 = -0.1667
From the table the probability is 0.4338
12*0.4338 = 5.2056 = 5
There are 5 televisions on the site within a $800 budget.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.