Need help in Statistics problem

dashang

Journeyman
Two teams A and B are playing a series of 5 matches. The team who wins the three or more matches will win the series. Assume that the outcome of the matches are independent and probability of winning for each team is 0.5. What is the probability that A will win 4 matches?

0.16

0.0016

0.97

0.8
==

The chances of Anne winning a game are 55%. What is the probability of Anne winning the game in 3rd trial?

0.42

0.16

0.33

0.11

==
The average number of defective hard disks made by a certain manufacturer is 3. What is the probability of seeing no more than 10 defective hard disks in a large sample?

0.0008

0.99

0.001

0.0002

==
At a certain traffic signal red for 30 seconds, yellow for 5 seconds, and green for 25 seconds. Find the probability that out of the next ten cars that arrive randomly at the light, exactly four will be stopped by a red light.

0.625

0.2

0.5

0.38
==
A test consists of 10 multiple choice questions with four choices for each question and each question has only one correct answer. If a person is guessing on each answer then what is the probability of getting 7 answers correct on this test.

0.25

0.003

0.5

6.103E-05
==
The chances a customer will make a purchase is 0.8. Then the probability of 3rd purchase in 13th customers is

BINOM.DIST(3,13,0.8,FALSE)

BINOM.DIST(1,11,0.8,FALSE)

NEGBINOM.DIST(13,3,0.8,FALSE)

NEGBINOM.DIST(10,3,0.8,FALSE)
==

On an average the number of hits on a certain web page are 20 hits per day. What is the probability of observing more than 30 hits in a day?

Not enough information is given

0.008

0.013

0.98
==

A call centre receives 20 call per hour on an average. Should the centre be employing more people if they expect more than 25 calls in an hour, when the centre cannot take more than 15% of the risk?

Cannot say

Yes

Depends upon the manager

No
==
Two teams A and B are playing a series of 5 games. The team who wins the three or more games will win the series. Assume that the outcome of the games are independent and probability of winning for each team is 0.5. What is the probability that A will win the series?

1

0.6

0.5

0.8
==
The probability to shoot a target is 0.3. Then the chances of hitting the target in 5th attempt is

5%

36%

7%

30%


PLEASE PROVIDE EXPLAINATION TO ANSWER IF POSSIBLE
 
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