A manufacturer of pins knows that 5% of his product is defective. If he sells pins in boxes of 100 and guarantees that not more than 4 pins will be defective. What is the probability that a box will fail to meet the guaranteed quality? A random sample of 1000 iron rods are tested for their length and it is found that the mean and standard deviation are 14.4 and 2.5 meters respectively. If the length is normally distributed then find (i) how many rods between 12 and 16 meters. (ii) what are chances that any rod selected at random will be 15 meters or above?

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A: Given: μ=15σ=4n=64Px¯<14=?

Q: If X is a normally distributed random variable with a mean of 80 and a standard deviation of 12,…

A: Given that.   X~N( μ , ?^2 )   μ=80     , ?=12   Z-score =( x - μ )/?

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A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches,…

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A:

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A: Mean = 21.50 Standard deviation = 2.22 n = 8

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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A:

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A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A: Mean = 12.4 Standard deviation = 1.7

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A:

Q: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

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A:

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A:

Q: Suppose that chemistry exam scores are normally distributed with a mean of 24 and a standard…

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A:

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately…

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Q: Suppose that skiing injuries occur at a constant rate, are statistically independent of each other,…

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Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches,…

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A: we have to use z table to solve.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.