A tire manufacturer estimates that their tires last, an average of 40,000 miles, with a standard deviation of 5000. What is the
1 answer:
Answer:
0.9554,0.8188
Step-by-step explanation:
Given that a tire manufacturer estimates that their tires last, an average of 40,000 miles, with a standard deviation of 5000.
X - duration of tires is N(40000,5000)
Or Z = is N(0,1)
the probability that a randomly chosen tire from this manufacturer lasts between 30,000 miles and 50,000 miles
=
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2) Given that the daily high temperature on October 31 in a certain city is normally distributed with 50 and 8
Y - daily high temp on Oct 31 is N(50,8)
Or Z = is N(0,1)
the probability that a randomly chosen tire from this manufacturer lasts between 46 degrees and 58 degrees
=
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Answer:
a)
b)
c) n=62
d) n=138
Step-by-step explanation:
Note: "Each chip contains n transistors"
a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:
b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.
We can calculate this as a binomial distribution problem, with n=9 and k≥8:
c)
This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.
d) If the memoty module tolerates 2 defective chips:
We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.
