stat chapter 5 quiz

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Using a standard deck of 52 playing​ cards, are the events of getting an ace and getting a jack on the card drawn mutually​ exclusive?

yes

If one card is drawn from a standard 52 card playing​ deck, determine the probability of getting a​ ten, a king or a diamond. Round to the nearest hundredth.

0.37

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 110. What is the probability of a hurricane at least once in the next 5​ years?

0.409510

A certain disease only affects men 20 years of age or older. The chart shows the probability that a man with the disease falls in the given age group. What is the probability that a randomly selected man with the disease is not between the ages of 55 and​ 64?

0.68

The events A and B are mutually exclusive. If ​P(A)=0.2 and ​P(B)=0.1​, what is​ P(A or​ B)?

0.8

From 9 names on a​ ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are​ possible?

126

There are 34 chocolates in a​ box, all identically shaped. There 12 are filled with​ nuts, 8 with​ caramel, and 14 are solid chocolate. Someone randomly selects one​ piece, eats​ it, and then selects a second piece. Find the probability of selecting 2 nut candies. Express your answer as a simplified fraction

2/17 12/34*11/33=

single​ 6-sided die is rolled twice. The set of 36 equally likely outcomes is​ {(1,1), (1,2),​ (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), ​(2,3), (2,4),​ (2,5), (2,6),​ (3,1), (3,2),​ (3,3), (3,4),​ (3,5), (3,6),​ (4,1), (4,2),​ (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), ​(5,3), (5,4),​ (5,5), (5,6),​ (6,1), (6,2),​ (6,3), (6,4),​ (6,5), (6,6)}. Find the probability of getting two numbers whose sum is greater than 10.

3/36 =1/12

The table to the right represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected​ people, find the probability that the person dies​ 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal. 3-4ys=35

7/20 .35

The conditional probability of event​ G, given the knowledge that event H has​ occurred, would be written as .

P(G|H)

Which of the following probabilities for the sample points​ A, B, and C could be true if​ A, B, and C are the only sample points in an​ experiment?

​P(A)=​0, ​P(B)=​1/14​, ​P(C)=13​/14

A probability experiment is conducted in which the sample space of the experiment is S={3,4,5,6,7,8,9,10,11,12,13}. Let event A={6,7,8,9,10}. Assume that each outcome is equally likely. List the outcomes in Ac. Find ​P(Ac​).

​{3​,4​,5​,11​,12​,13​}; 6/11


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