## Binomial Distribution ## Binomial Distribution TU Questions and Solutions

[2021 April- 3. b.] -7.5  Marks

if the chance of seed germination is 0.5. Also, find mean and standard deviation for the same. it a binomial distribution

 Number of. Germination 0 1 2 3 4 5 6 7 Number of samples 7 6 19 35 30 23 7 1 [2019 August-3b]

Fit a Binomial distribution to the following data

 X 0 1 2 3 4 5 6 F 5 18 28 12 7 6 4

Also, calculate the mean, standard deviation, and variance of binomial distribution from the data. [2016-QN 3b-9 Marks]

Fit a binomial distribution to the following data:

 X 0 1 2 3 4 F 5 10 20 30 15 [2018-Agust-Qun. No. 5b-4.5 Marks]

Fit a binomial distribution to the following data

 X 0 1 2 3 4 F 4 10 46 62 28 2018 June Makeup –QN 6 – 5 marks

If eight unbiased coins are tossed simultaneously, find the probability of getting. (i) at least six heads (ii) Exactly 5 heads.

2019 back QN 6 – 5 marks

Out of 9,000 families 4 children each, how , many families would you expect to have 3 boys and 1 girl, the birth of male child and female child is assumed equal.

2018 Jan QN 7 – 3 Marks

Five coins were tossed and the number of heads was noted. The experiment was repeated 3200 times and the following distribution was obtained.

 Number of heads 0 1 2 3 4 5 Frequencies 150 500 960 90O 500 190

Fit the binomial distribution using the probability of turning up the head in each case as 0.5.

2017 and 2018 QN 7 – 3 marks

Out of 800 families of Kathmandu 5 with 4 children each, what percentage would be expected to have (i) 2 boys and 2 girls (ii) at least one boy (ii) no girls and (iv) at most 2 girls. Assume equal probabilities for boys and girls. 2015 Q.No. 7 – 3 Marks

A binomial random variable X satisfies the relation 6 P(X = 3) = P(X = 2) when n = 5. Findthe value of the parameter ‘p’. 2014 Q.No. 6 – 3 Marks

A fair coin is tossed 10 times. Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head. ## Online Live Tuition for Production Operation and Management – MBS 2nd Sem.

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