# Engineering Mathematics-Probability and Statistics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 5 of 6

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## Question 1

Appeared in Year: *2010*

### Question MCQ▾

A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tail shown up” (2 marks)

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 2

Appeared in Year: *2015*

### Question MCQ▾

Suppose A and B are two independent events with probabilities and . Let and be their complements. Which one of the following statements is false?

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 3

Appeared in Year: *2019*

### Question Numeric Answer▾

Let be an exponential random variable with mean . That is, the cumulative distribution function of is given by

The , rounded off to two decimal places, is equal to ________.

(Carry One Mark Each)

Edit## Question 4

Appeared in Year: *2020*

### Question Numeric Answer▾

The two sides of a fair coin are labelled as 0 and A. The coin is tossed two times independently. Let M and N denote the labels corresponding to the outcomes of those tosses. For a random variable X, defined as X = min (M, N) , the expected value E (X) (rounded off to two decimal places) is.

Edit## Question 5

Appeared in Year: *2021*

### Question MCQ▾

A box contains the following three coins.

I. A fair coin with head on one face and tail on the other face.

II. A coin with heads on both the faces.

III. A coin with tails on both the faces.

A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one coin is then picked randomly and tossed. If the first toss results in a head the probability of getting a head in the second toss is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |