The Amount of Money That Maria Earns in a Week

question 49

Multiple Choice

The amount of money that Maria earns in a week is a random variable with a mean of $930 and a standard deviation of $30.The amount of money that Elena earns in a week is a random variable with a mean of $780 and a standard deviation of $15.If the difference between Maria's weekly income and Elena's weekly income can be described be a Normal model,what is the probability that Maria's weekly income is at least $223.79 more than Elena's weekly income? (In other words,what is the probability that the difference M - E is at least $223.79?) Assume that Maria's earnings are independent of Elena's earnings.

• A)0.018
• B)0.986
• C)0.011
• D)0.982
• E)0.014

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