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rakanmadi87
19.03.2020 •
Mathematics
Tammy earns a base salary of $300 each week with an additional 9% commission on whatever she sells what was time is total pay for the week in dollars if she saw $3200 worth of products
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Ответ:
0.7125
Step-by-step explanation:
The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes (with probability p) in a sequence of n independent events.
The probability of getting exactly x successes in n independent Bernoulli trials =![n_{C_{x}}(p)^x(1-p)^{n-x}](/tpl/images/0691/2902/2f572.png)
Total number of watches in the shipment = 50
Number of defective watches = 6
Number of selected watches = 10
Let X denotes the number of defective digital watches such that the random variable X follows a binomial distribution with parameters n and p.
So,
Probability of defective watches =![\frac{X}{n}=\frac{6}{50}=0.12](/tpl/images/0691/2902/bb03a.png)
Take n = 10 and p = 0.12
Probability that the shipment will be rejected =![P(X\geq 1)=1-P(X=0)](/tpl/images/0691/2902/b4770.png)
Use![n_{C_{x}}=\frac{n!}{x!(n-x)!}](/tpl/images/0691/2902/eb0cd.png)
So,
Probability that the shipment will be rejected =![=1-\left ( \frac{10!}{0!(10-0)!} \right )(0.88)^{10}](/tpl/images/0691/2902/ce798.png)