The following data were collected by counting the number of operating rooms over a 50-day period: On 5 of the days, no operating rooms was used; on 14 o operating room was used; on 19 of the days, two were used; on 10 of the days on 2 days all four of the hospital's operating rooms were used. The probability that on a particular day none of the operating rooms will be av Note: Input your probability in decimals rounded off to two decimal places. In a year-round of hospital operation, for 365 days, they can expect that thei used for times. Note: Use the exact value of the mean in answering this question. The variance of the probability distribution is Note: Round off your variance to 2 decimal places, if necessary.

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 3 Blue 2 Green 14 Yellow 13 Purple 7 Based on these results, express the probability that the next spin will land on red as a percent to the nearest whole number.

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It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?