The average price of a television on a certain website is $820. 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? (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 $1000? (Round to four decimal places as needed.) d. There are 20 televisions on the site. How many televisions are within an $800 budget? There are ___ televisions on the site that are within an $800 budget. (Round down to the nearest whole number.)
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The z-score formula is: $z = \frac{x - \mu}{\sigma}$ where $x$ is the price, $\mu$ is the mean (average) price, and $\sigma$ is the standard deviation. a. For $x = 700$: $z = \frac{700 - 820}{180} = -\frac{120}{180} = -\frac{2}{3}$ We can use a z-table or Show more…
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