Question

In: Statistics and Probability

Assume that 100 births are randomly selected and 51 of the births are girls. Use subjective...

  1. Assume that 100 births are randomly selected and 51 of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.
  2. In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use by the household. ​ (No two respondents were from the same​ household.) Among the​ respondents, 207 answered​ "none," 298 said​ "one," 365 said​ "two," 138 said​ "three," and 104 responded with four or more. A survey respondent is selected at random. Find the probability that​ his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in​ use? Consider an event to be unlikely if its probability is less than or equal to 0.05.

5. The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That​is, find the probability that the subject​ lied, given that the test yields a positive result.

Did the Subject Actually​ Lie?

No​ (Did Not​ Lie) Yes​ (Lied) Positive test results 11, 45 Negative test results 33, 12

The probability is?

​(Round to three decimal places as​ needed.)

8. Assume that when adults with smartphones are randomly​ selected, 58​% use them in meetings or classes. If 9 adult smartphone users are randomly​ selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes.

(Round to four decimal places as​ needed.)

9. Based on a​ poll, among adults who regret getting​ tattoos,

21​% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly​ selected and find the indicated probability. Complete parts​ (a) through​ (d) below.

  1. Find the probability that none of the selected adults say that they were too young to get tattoos.
  2. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
  3. Find the probability that the number of selected adults saying they were too young is 0 or 1.
  4. If we randomly select 6 adults, is 1 significantly low number who say that they were too young to get​ tattoos?

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