Consider a binary code with 6 bits (0 or 1) in each code word. An example of a code word is 010010. а. How many different code words are there? b. How many code words have exactly three O's? In each code word a bit is a 0 with probability 0.8, independent of any other bit, what is the probability of observing the code 001111. d. What is the probability that the code word will contain exactly three zeros (Hint: The way that you would read this statement is the P[observing exactly three zeros] = P[000111] + P[100011] + с. etc ..., as you can see there are so many ways you could observe 3 zeros in a code, use the combinatorics principle to help you find the probability in this question )

A random number generator is used to select an integer from 1 to 200 ​(inclusively). What is the probability of selecting the integer ​825

Find the indicated complement. A certain group of women has a 0.16% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness? What is the probability that the woman selected does not have red/green color blindness? (Type an integer or a decimal. Do not round.) ter s for Itime

A binary communication channel transmits a sequence of “bits” (0s and 1s). Supposethat for any particular bit transmitted, there is a 10% chance of a transmission error (a0 becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently ofone another.a. Consider transmitting 1000 bits. What is the approximate probability that atmost 125 transmission errors occur?b. Suppose the same 1000-bit message is sent two different times independentlyof one another. What is the approximate probability that the number of errors inthe first transmission is within 50 of the number of errors in the second?

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.

According to a particular website 11% of a group of people are left handed. If we select 4 people at random, find the probability that the number who are left handed is at most 1. What probability should be found? VA. P(0 are left handed) + P(1 is left handed) O B. P(1 is left handed) O C. P(4 are left handed) O D. P(2 are left handed) The probability that at most 1 is left handed is (Round to four decimal places as needed.)

Suppose the probability of a certain basketball player making a free throw is 75%. Find the probability that on 8 attempts, he will make at least one. Group of answer choices 0.8998 0.9999 None of the above 0.1001