Consider a binary code with 7 bits (0 or 1) in each code word. In each code word, a bit is a zero with probability 0.6, independent of any other bit. (a) How many different code words are there? (b) How many code words have exactly three 0’s? (c) What is the probability that a code word contains exactly three 0’s?

Suppose that in a certain large population, the proportion of people that have blood type O is 0.33. If 7 people are randomly and independently selected from this population, what is the probability that no more than one has blood type O? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer:

According to a survey, the probability that a randomly selected worker primarily drives a van to work is 0.725. The probability that a randomly selected worker primarily takes public transportation to work is 0.091. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a van or takes public transportation to work? P(worker drives a van or takes public transportation to work) = (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a van nor takes public transportation to work? P(worker neither drives a van nor takes public transportation to work) (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a van to work? = P(worker does not drive a van to work) = (Type an integer or decimal rounded to three decimal places as needed.) (d)…

A jury pool has 23 people that are married and 21 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random without replacement, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.) (a) all married people. (b) all not married people. (c) 8 married and 4 that are not married. (d) 6 married and 6 that are not married.

Suppose the probability of winning a particular lottery is 1 in 14C5 •6 or If Juanita and Michelle each play the lottery on one particular evening, what is the 12,012 probability that both will select the winning numbers if they make their selections independently of each other? ..... The probability that both will select the winning numbers is approximately (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)

In a certain lottery, an urn contains balls numbered 1 to 37. From this urn, 5 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of five numbers. To win, all five numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket? The probability of winning is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)

Digits from 1 to 9 are randomly placed to form a 9-digit number. What is the probability that the number is divisible by 18?

In a lottery, the top cash prize was $659 million, going to three lucky winners. Players pick five different numbers from 1 to 57 and one number from 1 to 42. A player wins a minimum award of $450 by correctly matching three numbers drawn from the white balls (1 through 57) and matching the number on the gold ball (1 through 42) What is the probability of winning the minimum award? The probability of winning the minimum award is (Type an integer or a simplified fraction.)

ther between 25 and 54, inclusive, or at least 35. below. pability that a person chosen is at least 35, then subtract from the sum the probability that the pe that by the total number of people. he probability that a person chosen is at least 35. ide that by the total number of people. Frequency of Naturalized Persons by Age Bracket kɔuanbas (ak) oby Age (yr) Frequency 18-19 20-24 25-29 30-34 35-39 960'9 49,763 45-49 40,307 31,004 26,513 15,505 23,548 10,504 50-54 56,624 63,898 55-59 9-09 68,940 56,638 65-74 75 & over 40-44 Print Done