Math  /  Data & Statistics

Question- s s] The average monthly mortgage payment for recent home buyers in Winnipeg is $732\$ 732, with standard thon of $421 A\$ 421 \mathrm{~A} random sample of 125 recent home buyers is selected. The probability that their average aonthly mortgage payment will be more than $782\$ 782 is: (a) 0.9082 (b) 0.4522 (c) 0.5478 (d) 0.0478 (e) 0.0918 μ=932σ=421n=125τ=xˉμσ=782732421n=5037.71=1.33xˉ=782\begin{array}{ll} \begin{array}{l} \mu=932 \\ \sigma=421 \\ n=125 \end{array} & \tau=\frac{\bar{x}-\mu}{\sigma}=\frac{782-732}{\frac{421}{\sqrt{n}}}=\frac{50}{37.71}=1.33 \\ \bar{x}=782 \end{array}

Studdy Solution
The probability that the average monthly mortgage payment for the sample will be more than $782\$782 is approximately 0.0918, which corresponds to answer choice (e).

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