1. Find the P(z > 1.50) 2. The demand for a new product is estimated to be normally distributed with μ = 200 and σ = 40. Let x be the number of units demanded and find the following probabilities. Find the probability (round to four decimal places): P(180 < x < 220) 3. Find the P(z < -0.66) 4. The mean amount of gasoline and services charged by Key Refining Company credit customers is $70 per month. The distribution of amounts spent is approximately normal with a standard deviation of $10. What is the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83? (Round to two decimal places.) 5. The demand for a new product is estimated to be normally distributed with μ = 200 and σ = 40. Let x be the number of units demanded and find the following probabilities. Find the probability (round to four decimal places): P(225 < x < 250)
Added by Ryan D.
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P(z > 1.50): This is asking for the probability that a standard normal random variable is greater than 1.50. Using a standard normal distribution table or a calculator, we find that P(z > 1.50) = 1 - P(z < 1.50) = 1 - 0.9332 = 0.0668. Show more…
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