The time it takes to complete a task uniformly distributed between 27 minutes an

Question

The time it takes to complete a task uniformly distributed between 27 minutes and 68 minutes. What is the probability the task will take me more than 47 minutes given that I have already worked for 34 minutes? Give your answer accurate to four decimal places. License Question 2. Points possible: 1 Unlimited attempts A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.9 years, and standard deviation of 2.7 years If you randomly purchase one item, what is the probability it will last longer than 10 years? Round answer to four decimal places Licerss Question 3. Points possible:1 Unlimited attempts A particular fruit's weights are normally distributed, with a mean of 334 grams and a standard deviation of 23 grams. The heaviest 3% of fruits weigh more than how many grams? Round to 4 decimal places. License Question 4. Points possible: 1 Unlimited attempts.

Explanation / Answer

2) P(X> 47|X > 34)
= P(X > 47 and X > 34)/P(X > 34)
= P(X > 47)/P(X > 34)
= (68-47)/(68-34)
= 0.6176470

3)
P(X > 10)
= P(Z >(10 -13.9)/2.7))
= P(Z > -1.4444444)
= 0.9257

4)
heavist 3 %
P(Z >z*) = 0.03
z* = 1.881
hence
X = 334 + 1.881 *23
= 377.263

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