(b) What is the probability that he will answer all questions incorrectly?(c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.Then use the fact that P(r 1) = 1 P(r = 0).Compare the two results. Should they be equal? Are they equal? If not how do you account for the difference?They should be equal but may differ slightly due to rounding error.They should be equal but differ substantially.They should not be equal but are equal.They should be equal but may not be due to table error.(d) What is the probability that Richard will answer at least half the questions correctly?(b) at least one person has done a one-time fling(c) no more than two people have done a one-time fling(b) more than two ties are too tight(c) no tie is too tight(d) at least 18 ties are not too tight(b) at least 6 out of 10 business days(c) fewer than 5 out of 10 business days(d) fewer than 6 out of the next 20 business daysIf the outcome described in part (d) actually occurred might it shake your confidence in the statement p = 0.65? Might it make you suspect that p is less than 0.65? Explain.Yes. This is unlikely to happen if the true value of p is 0.65.Yes. This is likely to happen if the true value of p is 0.65.No. This is unlikely to happen if the true value of p is 0.65.No. This is likely to happen if the true value of p is 0.65.(e) more than 17 out of the next 20 business daysIf the outcome described in part (e) actually occurred might you suspect that p is greater than 0.65? Explain.Yes. This is unlikely to happen if the true value of p is 0.65.Yes. This is likely to happen if the true value of p is 0.65.No. This is unlikely to happen if the true value of p is 0.65.No. This is likely to happen if the true value of p is 0.65.(b) Out of six adults all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)(c) Out of six adults exactly four are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)For what value of r is P(r successes) the same using p = 0.70 r = (d) What column is symmetrical with the one headed by p = 0.20?the column headed by p = 0.50the column headed by p = 0.85the column headed by p = 0.70the column headed by p = 0.80the column headed by p = 0.40