Please answer number 14. All parts to the question! 14. Critical Thinking(a) Explain why -0.41 cannot be the probability of some event.(b) Explain why 1.21 cannot be the probability of some event.(c) Explain why 120% cannot be the probability of some event.(d) Can the number 0.56 be the probability of an event? Explain.15. Probability Estimate: Wiggle Your Ears Can you wiggle your ears?Use the students in your statistics class (or a group of friends) to esti-mate the percentage of people who can wiggle their ears. How canyour result be thought of as an estimate for the probability that aperson chosen at random can wiggle his or her ears? Comment: Nationalstatistics indicate that about 13% of Americans can wiggle theirears (Source: Bernice Kanner, Are You Normal?, St. Martin's Press,New York).16. Probability Estimate: Raise One Eyebrow Can you raise one eyebrowat a time? Use the students in your statistics class (or a group of friends) toestimate the percentage of people who can raise one eyebrow at a time. Howcan your result be thought of as an estimate for the probability that a personchosen at random can raise one eyebrow at a time? Comment: National sta-tistics indicate that about 30% of Americans can raise one eyebrow at a time(see source in Problem 15).17. | Myers-Briggs: Personality Types Isabel Briggs Myers was a pioneerin the study of personality types. The personality types are broadlydefined according to four main preferences. Do married couples choosesimilar or different personality types in their mates? The followingdata give an indication (Source: I. B. Myers and M. H. McCaulley,A Guide to the Development and Use of the Myers-Briggs TypeIndicators).Similarities and Differences in a Random Sample of 375 Married CouplesNumber of Similar PreferencesNumber of Married CouplesAll four34Three131TwoOneNone1247115Suppose that a married couple is selected at random.(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4personality preferences in common.(b) Do the probabilities add up to 1? Why should they? What is the samplespace in this problem?18. General: Roll a Die(a) If you roll a single fair die and count the number of dots on top,what is the sample space of all possible outcomes? Are the outcomesequally likely?(b) Assign probabilities to the outcomes of the sample space of part (a).Do the probabilities add up to 1? Should they add up to 1?Explain.(c) What is the probability of getting a number less than 5 on a singlethrow?(d) What is the probability of getting 5 or 6 on a single throw?

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It is needed to check whether the given values are probability or not.

Critical Thinking (a) Explain why -0.41 cannot be the probability of some event. (b) Explain why 1.21 cannot be the probability of some event. (c) Explain why 120% cannot be the probability of some event. (d) Can the number 0.56 be the probability of an event? Explain.