1 Take a case of tossing of 20 coins. Draw a probability distribution of all the exhaustive events possible in the case. Use excel for calculations and plotting?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1 Take a case of tossing of 20 coins. Draw a probability distribution of all the exhaustive events
possible in the case. Use excel for calculations and plotting?

2.t was found that on an average there are 5 high tides observed in the month of December at Gateway
of India. Calculate the probability that
a. No high tide will be taking place in next December
b. Exactly 4 high tides will be taking place in next December
c. No more than 3 high tides are going to take place in next December

3A sack of potatoes arrived at a market weighs 100 Kgs. It was found that this sac was a produced from
a farm where the average mass of a potato was 80 gms and SD of the weights of potatoes was 15 gms. A
potato was randomly picked.
How much is the probability that this potato is having a mass of 70 gms.
How much is the probability that this potato is at least 70 gms in mass.
How much is the probability that this potato is at most 70 gms in mass.

4.Write the steps in testing of hypothesis

5.Q5 A sample of 900 members is found to have a mean of 3.47 cm. Can it be reasonably regarded as a
simple sample from a large population with mean 3.23 cm. and standard deviation 2.31 cm.? Test at 5%
and 10% level of significance.

6.Q6 The means of the two random samples of 1000 and 2000 are 67.5 and 68.0 inches respectively. Can
the samples be regarded to have been drawn from the same population of standard deviation 9.5 inches?
Test at 5% level of significance.

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