Question

only 93% of the airplane parts being examined pass inspection. what is the probability that the next 5 parts examined will all pass inspection

Answer 1

Answer:

Question 4 pts Only 93% of the airplane parts being examined pass Inspection: What is the probabllity that the next 5 parts examined will all pass inspection? (Write your probability a5 decimal rounded to the nearest thousandth or third decimal place):

Step-by-step explanation:

in order for us to find this probability here. What we're going to need to do is first ask ourselves if we were to just randomly select five parts, does one passing or felling affect the next one passing your fellow. And it really wouldn't um because one passing doesn't really say the next word should pass. And so because of that we know that this is going to be an independent event and if we have an independent event that's just really going to be where we multiply the probabilities of each live, it's occurring by themselves. So in this case it's just going to be the probability of one of them passing times 0.3 times the probability of the second one passing times. The probability of the third passing times. The fourth passing At times the 5th passing For just 0.93 Raised to the 5th power. So this is going to be the exact answer but they want it to three decimal places Which is going to be 0.6 956. So we round to three decimal so we have six and then we have five. So we would round it up To about 6.96. So this is going to be our probability or if you want you can change this into a decimal of 69.6%. But normally we would receive it as this decimal here. So either of these um would be good answers for what we have here