Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 17

HARD

MHT-CET

IMPORTANT

Earn 100

If $X$ has a binomial distribution, $B (n, p)$ with parameters $n$ and $p$ such that $P (X = 2) = P (X = 3)$ , then $E (X)$ , the mean of variable $X$ , is :

50% studentsanswered this correctly

Important Questions on Binomial Distribution

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 18

In a series of three trials the probability of exactly two successes is nine times as large as the probability of three successes. Then, the probability of success in each trial is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 19

In the experiment of tossing a coin

n

times, the probability of getting at least one head is greater than that of getting at least two tails by

\frac{5}{32} .

Then

n

will be

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 20

A die is thrown

100

times, then the standard deviation of getting an even number is

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 21

A coin is tossed

n

times. The probability of getting head at least once is greater than

0.8,

then the least value of

n

is

EASY

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 22

Suppose

X

follows a binomial distribution with parameters n and p, where

0 < p < 1

. If

\frac{P (X = r)}{P (X = n - r)}

is independent of

n

n for every

r

, then

p

is equal to

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 23

A contest consists of predicting the results as win, draw or defeat of

7

football matches. A person sent his entry by predicting at random. The probability that his entry will contain exactly

4

correct predictions is

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 25

A man makes attempts to hit the target. The probability of hitting the target is

\frac{3}{5}

. Then the probability that a man hits the target exactly

2

times in

5

attempts, is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 29 - Binomial Distribution>Exercise 1>Q 26

If getting a number greater than 4 is a success in a throw of a fair die, then the probability of at least 2 successes in six throws of a fair die is