Question

In: Statistics and Probability

a.The sample space consists of the results of a single probability experiment. True or False b....

a.The sample space consists of the results of a single probability experiment. True or False

b. Two events are dependent if the occurrence of one event changes to occurrence of the second event. True or False

c. Using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event. True of False

d. In a discrete probability distribution, the sum of the probabilities for the discrete variables will be > 1. True or False

e. Which of the following is NOT a possible probability? a. 25/100 b. 1.25 c. 1 d. 0

f. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss? a. 0 b. 1/16 c. 1/8 d. 1/2

g. How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once? a. 6 b. 36 c. 720 d. 46,656

h. If P(E) is the probability of an event occurring, which of the following must be false?

a. P(E) =1 b. P(E)=1/2 c. P(E)= .69 d.P(E) = -1.2

Expert Solution

A) Given data

We need to identify true or false statements

b) Two events are dependent if the occurrence of one event changes to occurrence of the second event.

A) True - When two events are dependent events then the occurrence of the first event will effect the second event.

d) In a discrete probability distribution, the sum of the probabilities for the discrete variables will be > 1

A) False. The value may be 0 or 1

e) Which of the following is NOT a possible probability

A) 1.25 (option - B) - The probability lies between o and 1.

f) A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?

A) The results are independent

So P(head on 4th toss) =1/2(Option - d)

g) How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once

A) number of letters in given word=6

Therefore number of arrangements formed is=6!

=6×5×4×3×2×1=720(option-C)

h) If P(E) is the probability of an event occurring, which of the following must be false?

A) P(E) =-1. 2(Option - D) - The probability Value cannot be negative value.

orchestra answered 1 year ago

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