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Probability and Statistics Quiz

1. If the weather prediction service showed these two scenarios where the clouds are predictors of rainfall, which scenario ( 1 or 2 ) shows a greater probability of rain

a. Map 1

b.Map 2

c.Both show the same

d.None of these answers

2. Which of these is the proper symbol for summation ?

a. €

b.µ

c.Σ

d.σ

None of these

3. Which of these is the proper symbol for probability ?

x B. Σ C. px D. P(x) E. None of these

4. Which of these statements is/are true about probabilities?

a.0<p(x) <2

b.0≤p(x)>1

c. 0<p(x)≤1

d.0≤p(x)<1

e.0≠p(x)≠1

None of these

5. Studies have shown that TC % OF ALL PEOPLE vote in presidential elections; state the complement of that %. I.e. those who don’t vote. ( USE ANSWER TO 6B) AS a 2 place % Like 12.88 %

6. Using this table: if you select one person at random, find the probability that the person will commute to campus by BIKE:

How Frequency

Walk TC

Drive 281

Bike 101

7. Here is a DIFFERENT table on commuters to LRU:

How How many minutes it takes Frequency

Car pool 14 100

Their own car 20 TC

Bus 23 50

Uber 25 61

Find probability ( it took less than 23 minutes.

8. How How many minutes it takes Frequency

Car pool 14 100

Their own car 16 TC

Bus 23 50

Uber 25 61

Find probability ( it took exactly 16 minutes OR 23 minutes)

9. Axe throwing has become a very popular activity among millennials. If you have one axe to throw one time, find the probability that the axe will land on a number greater than 3. ALL SPACES ON The TARGET HAVE AN EQUAL CHANCE

10. Which of these pairs of events are considered NON-mutually exclusive ?

2.b.

2.taking Math 1040 now/ not taking Math 1040 now

2.selecting a king and that is also red

2.selecting a card that is red, then selecting a card that is black

G. None of these

11. Use The % You Stated In Problems 6b And 7; You Will Need To Fill n The Missing ?

Here is another table: find probability ( not by CAR POOL )

How Frequency %

Car pool 30%

Their own car 20%

Bus TC%

Uber ?

TOTAL 100%

12. A special deck of cards consists of TC cards, 155 of which are red; the rest are black. If a card is selected at random and you look at it and remember what it is or write it down, then you DO NOT replace it into the same deck,( hold it out ) then shuffle the deck at least 7 times, then select a card. 7 shuffles is an adequate number to thoroughly mix the cards and prevent any doubts, Find the probability that both cards are RED. Leave answer as an unreduced fraction

13. Studies have shown that TC/1000 of people in Florida do not stay out in the sun for more than one hour per day. If 4 Floridians are selected at random, find the probability that all three will not stay out in the sun for more than one hour. Hint: This Is Like a Both Problem Except There Are Multiple Events