Each item produced by a certain manufacturer is independently of acceptable quality with probability 0.95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable.

The probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

Step-by-step explanation:

Let X = number of items with unacceptable quality.

The probability of an item being unacceptable is, P (X) = p = 0.05.

The sample of items selected is of size, n = 150.

The random variable X follows a Binomial distribution with parameters n = 150 and p = 0.05.

According to the Central limit theorem, if a sample of large size (n > 30) is selected from an unknown population then the sampling distribution of sample mean can be approximated by the Normal distribution.

The mean of this sampling distribution is:

The standard deviation of this sampling distribution is:

If 10 of the 150 items produced are unacceptable then the probability of this event is:

Compute the value of as follows:

*Use a z-table for the probability.

Thus, the probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

answer: i oofed

step-by-step explanation:

oofed=wow

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is   going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website       drive more conversions to your website

step-by-step explanation: