Question
The random variable $X$ has a binomial distribution with $n=10$ and $p=0.5 .$ Determine the following probabilities:(a) $P(X=5)$(b) $P(X \leq 2)$(c) $P(X \geq 9)$(d) $P(3 \leq X<5)$
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5$. The probability mass function of a binomial distribution is given by: \[P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}\] where $\binom{n}{k}$ is the binomial coefficient, which is the number of ways to choose $k$ successes out of $n$ trials. Show more…
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The random variable $X$ has a binomial distribution with $n=10$ and $p=0.01$. Determine the following probabilities. (a) $P(X=5)$ (b) $P(X \leq 2)$ (c) $P(X \geq 9)$ (d) $P(3 \leq X<5)$
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The random variable $X$ has a binomial distribution with $n=10$ and $p=0.01$. Determine the following probabilities. a. $P(X=5)$ b. $P(X \leq 2)$ c. $P(X \geq 9)$ d. $P(3 \leq X<5)$
If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x less than or equal to 4), n = 5, p = 0.6 (b) P(x greater than 1), n =5, p = 0.7 (c) P(x less than 3), n =6, p =0.1 (d) P(x greater than or equal to 1), n = 8, p = 0.1
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