A survey of U. S. adults who own smartphones found that 35% of the respondents check their phones at least once an hour for each hour during the waking hours. Such smartphone owners are classified as "constant checkers." Suppose you were to draw a random sample of 10 smartphone owners.(a) The number in your sample who are constant checkers has a binomial distribution. What are n and p?(b) Use the binomial formula to find the probability that exactly two of the 10 are constant checkers in your sample. (Round your answer to four decimal places.)(c) Use the binomial formula to find the probability that two or fewer are constant checkers in your sample. (Round your answer to four decimal places.)

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)