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|
Fit a Binomial distribution to the following data
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:
[2018-Agust-Qun. No. 5b-4.5 Marks]
Fit a binomial distribution to the following data
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|
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.
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