Straighterline introduction to statistics MAT202 Topic 4: Random Variables Graded Exam 2 Questions and Answers (2025 Update)

Straighterline introduction to statistics MAT202 Topic 4: Random
Variables Graded Exam 2 Questions and Answers (2025 Update)

• Mathematics
• MAT202
• MAT202_SL_V3
• Topic 4: Random Variables



Started on Thursday, February 6, 2025, 12:42 PM


State Finished


Completed on Thursday, February 6, 2025, 1:03 PM


Time taken 21 mins 2 secs


Grade 120.00 out of 125.00 (96%)

Question 1
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Question text
If an experiment has a sample space S containing 10 equally likely
outcomes, and event E consists of 4 of these outcomes, what is the
probability P(E) of event E occurring?
Select one:
a.
P(E)=0.5
b.
P(E)=0.25
c.
P(E)=0.4

, d.
P(E)=0.6
Question 2
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You toss a fair dime and a fair nickel simultaneously. What is the probability
of getting exactly one head?
Select one:
a.
1313
b.
1212



c.
3434
d.
1414

Question 3
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Imagine you have a fair, well-shuffled deck of 52 playing cards. You draw
one card at random, replace it back into the deck, and shuffle. You repeat
this process two more times, drawing a total of three cards with
replacement. Your draws are as follows: Queen of Spades, Ten of Clubs, and
Queen of Spades again. Since you are sampling with replacement, it's
possible to draw the same card more than once.
Based on the comprehension above, answer the following questions:


1. What is the probability of drawing the Queen of Spades in a single draw from the deck?