Based on a poll, 80% of airline passengers slept or rested during a long flight. Let the random variablexrepresents the number of airline passengers among the selected six who slept or rested.

a)Construct a table describing the probability distribution and the R Syntax.

table)

x 0 1 2 3 4 5 6

P(x)

b)Find the probability that at least 2 of the 6 passengers who slept or rested.

c)Find the mean and standard deviation for the numbers of passengers who slept or rested.

d)Determine whether 4 is a significantly high number of passengers who slept or rested in a group of 6. Explain.