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Hey there, welcome to numerate.
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We are given a binomial random variable here, given our sample size as 320 or 310 trials, and our probability here equaling around 0 .85.
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So with this information here, we can find the following probabilities we're asked for.
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Starting with part a.
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Part a, we're asked to find the probability.
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The x is at least 260.
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So to find this probability here, we're going to be plugging it into our binomial calculator.
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So this is basically the probability of 260, adding to the probability of 259, and we're going to keep them going downwards all the way down to the probability of zero.
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Therefore, that's why we're using a calculator...