SOLUTION: 1a. A symmetrical die is thrown 360 times. Determine the lower bound for the probability
of getting 50 to 70 ones.
1b. Compute the required probability using the binomial distr
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-> SOLUTION: 1a. A symmetrical die is thrown 360 times. Determine the lower bound for the probability
of getting 50 to 70 ones.
1b. Compute the required probability using the binomial distr
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Question 1182477: 1a. A symmetrical die is thrown 360 times. Determine the lower bound for the probability
of getting 50 to 70 ones.
1b. Compute the required probability using the binomial distribution. Answer by ikleyn(52918) (Show Source):
It is the binomial distribution problem.
- number of trials n = 360;
- number of success trials 50 <= k <= 70;
- Probability of success on a single trial p = 1/6.
We need calculate P(n=360; 50 <= k <= 70; p=1/6).
To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site
https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
So, P(n=360; 50 <= k <= 70; p=0.166667) = here I should re-write it using the CUMULATIVE probabilities =
= P(n=360; k <= 70; p=0.166667) - P(n=360; k <= 49; p=0.166667) =
= 0.92893071364 - 0.06601515035 = 0.862915563 = 0.8629 = 86.29% (rounded). ANSWER
