Researchers at a reputable university and a reputable health organization claim that approximately 77% of people believe "tranquilizers work very well to make person more calm and relaxed." Of the next 80 people interviewed, what is the probability that (a) at least 52 are of this opinion? (b) at most 58 are of this opinion? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is. (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)

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### Probability Problem on Belief in Tranquilizers

Researchers at a reputable university and a reputable health organization claim that approximately 77% of people believe "tranquilizers work very well to make a person more calm and relaxed." Of the next 80 people interviewed, what is the probability that

**(a)** At least 52 are of this opinion?

**(b)** At most 58 are of this opinion?

#### Instructions:
Click the links below to view the standard normal distribution tables which are necessary to solve these problems:

- [Click here to view page 1 of the standard normal distribution table](#)
- [Click here to view page 2 of the standard normal distribution table](#)

#### Solution:

**(a)** The probability is [_______].  
(Round to four decimal places as needed.)

**(b)** The probability is [_______].  
(Round to four decimal places as needed.)
Transcribed Image Text:### Probability Problem on Belief in Tranquilizers Researchers at a reputable university and a reputable health organization claim that approximately 77% of people believe "tranquilizers work very well to make a person more calm and relaxed." Of the next 80 people interviewed, what is the probability that **(a)** At least 52 are of this opinion? **(b)** At most 58 are of this opinion? #### Instructions: Click the links below to view the standard normal distribution tables which are necessary to solve these problems: - [Click here to view page 1 of the standard normal distribution table](#) - [Click here to view page 2 of the standard normal distribution table](#) #### Solution: **(a)** The probability is [_______]. (Round to four decimal places as needed.) **(b)** The probability is [_______]. (Round to four decimal places as needed.)
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