14. correct answer: Option (C) 3/8
since coin is tossed 3 times so n = 3
and p = 1/2
P(X=two heads) = 3C2 / 2^3 = 3/8
True / False:
1. The probability of an even is between 0 and 1 --- True
2. false
since Sum of the probabilities of the outcomes in the sample space
is 1
3. false
since odds againt: 1-p : p
4. True
5. true
PLEASE ANSWER EVERY SINGLE ONE 14. A coin is tossed three times. What is the probability...
2. Determine if the statements below are true or false. Justify your answer. (a) If a fair coin is tossed many times and the last eight tosses are all heads, then the chance that the next toss will be heads is somewhat less than 50% (b) Drawing a face card (jack, queen, or king) and drawing a red card from a full deck of playing cards are mutually exclusive events. (c) Drawing a face card and drawing an ace from...
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (If necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. (a) Check the outcomes for each...
Problem 7) True/False A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20.p=0.5. Answer the following questions. True/False: In this problem, the random variable X is considered as a...
PLEASE ANSWER EVERY SINGLE ONE
only need answers dont need to show work
16. Which of the following pairs of events is mutually exclusive? a. drawing a face card; drawing a queen from a deck of cards b. rolling doubles, rolling a total of 6 with two standard dice c. spinning a prime number, spinning an even number on a spinner with eight sectors numbered from 1 to 8 d. electing a female class president; electing a male class president...
A coin flip: A fair coin is tossed three times. The outcomes of the three tosses are recorded. Round your answers to four decimal places if necessary. Part 1 of 3 Assuming the outcomes to be equally likely, find the probability that all three tosses are "Heads." The probablility that all three tosses are "Heads" is 0.1250 Part: 1/3 Part 2 of 3 Assuming the outcomes to be equally likely, find the probability that the tosses are all the same....
A coin is tossed three times. X is the random variable for the number of heads occurring. a) Construct the probability distribution for the random variable X, the number of head occurring. b) Find P(x=2). c) Find P(x³1). d) Find the mean and the standard deviation of the probability distribution for the random variable X, the number of heads occurring.
A coin is tossed three times and the events are shown as below: A: [At most ONE head is observed] B: [The number of heads observed is even] .... 1. Identify the sample points of A∪ B 2. Identify the sample points of Ac 3. Identify the sample points in A ∩ B 4. Find the probability of A, B, Ac, A∪ B, and A ∩ B Are events A and B mutually exclusive? WHY?
A fair coin is tossed three times and the events AA, BB, and CC are defined as follows. Find the probabilities of the combined events shown below. It may be helpful to first identify the outcomes that would be in each combined event. {A:{ At least one head is observed } {B:{ At least two heads are observed } {C:{ The number of heads observed is odd } __ a) P(A)= there is a line over a^^ b) P(A∪C) = c) P(A∪B∪C)= there...
4. The Probability Calculus- Restricted Disjunction Rule To calculate the probability that either of two events will occur when the events are mutually exclusive, use the restricted disjunction rule. Two events are mutually exclusive if they cannot both occur at the same time. To calculate the probability of either of two mutually exclusive events (A and B) occurring, according to the restricted disjunction rule, use the following formula P(A or B) P(A)P(B) This formula tells you that the probability of...
1. A fair coin is tossed three times. Let A be the event that there are at least two heads in the three tosses and let B be the event that there are exactly two heads among the three tosses. a. Draw the complete tree diagram for this experiment. [3] b. What are the sample space and probability function for this experiment? [5] c. Compute P(A), P(B), P(A|B), and P(B|A). [7]