Name: Math 159 Quiz 3 Form B (15 points possible) Round all probability, area or

Question

Name: Math 159 Quiz 3 Form B (15 points possible) Round all probability, area or proportion to 4 decimal places, z to 2 decimal places. 1)One of the following is a valid probability distribution, circle it. (3pcs) .0.1 0.09 0.08 0.11 0.27 0.45 0.2 2) Which of the following is NOT a requirement for binomial distribution. a) There are n fixed trials. b) Each trial is independent. c) The probability of success in each trial is the same. d) One of the outcome in each trial is success. e) There are more than two outcomes in each trial. 3) Circle the situations that can be modeled by binomial distribution. Circle all that apply a) The number of races a Democratic candidate can win out of 4 races. In each race, Democratic candidate has 60% chance of winning. b) the number of trips an Uber driver takes in randomly selected day. c) The number of times a student visits the Math Learning Center in a semester. d) The number of baby boys who weight more than 8 Ibs. at birth out of 15 babies in an infant ward. 4) In a survey, adults were asked how many credit cards accounts they have. The random variable x represe nts the number of credit card accounts. The distribution of x is below: a) If an adult is selected randomly, what is the probability that the adult has Number of Cards,x )two or more credit cards. 0.17 0.21 b) Find the mean and standard deviation of X Round to 2 decimal places 0.33 0.26 0.03 c) Use Range rule of Thumb to determine if four credit cards isa significantly high number. 5) A study found that 59% of teenagers like riding roller coasters. A random sample of 20 teenagers is selected a) Find the probability that 14 out of 20 teenagers like riding roller coasters. b) Find the probability that at least 14 out of 20 teenagers like riding roller coasters c) Is 14 teenagers a significantly high number out of 20 who like riding roller coasters? Explair.

Explanation / Answer

1)

Option a has negative probability so not valid

Option b has total probability greater than 1. So not valid

Option C is a valid probability

2)

Option e not correct. There are only two outcomes in a trail in binomial distribution, success or failure

3)

Option a is binomial

Option d is a binomial distribution

4)

P(X>=2) = 1-P(X<2) = 1-0.17-0.21 = 0.62

b)

Mean = 1.77

SD = SQRT(4.35-1.77^2) = 1.103

X P(X) XP(X) X^2*P(X) 0 0.17 0 0 1 0.21 0.21 0.21 2 0.33 0.66 1.32 3 0.26 0.78 2.34 4 0.03 0.12 0.48 1 1.77 4.35

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