Question

Asked Oct 30, 2019

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: The *Bank of America Trends in Consumer Mobility Report* indicates that in a typical day, 51% of users of mobile phones use their phone at least once per hour, 26% use their phone a few times per day, 8% use their phone morning and evening, and 13% hardly ever use their phones. The remaining 2% indicated that they did not know how often they used their mobile phone (*USA Today*, July 7, 2014). Consider a sample of 150 mobile phone users.

- What is the probability that at least 70 use their phone at least once per hour?
- What is the probability that at least 75 but less than 80 use their phone at least once per hour?
- What is the probability that less than 5 of the 150 phone users do not know how often they use their phone?

Step 1

1.

The probability that at least 70 use their phone at least once per hour is obtained below:

From the given information, the consumer mobility report indicates that 51% of users of mobile phone use their phone at lest once per hour that is *p* = 0.51. the sample size (n) is 150.

If the normal distribution can be used as an approximate to the binomial distribution, in this case p is close to 0.5. then N(np, npq)

The value of mean is,

Step 2

The value of standard deviation is,

Step 3

The required probabil...

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