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Please help inserting the numbers into formula I need help with this exercise practicing for ged test in 10 days im a 61-year-old woman in need of help really need help please h…

Please help inserting the numbers into formula I need help with this exercise practicing for ged test in 10 days im a 61-year-old woman in need of help really need help please h…
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4 votes
Please help inserting the numbers into formula I need help with this exercise practicing for ged test in 10 days im a 61-year-old woman in need of help really need help please help me with exercise five

Please help inserting the numbers into formula I need help with this exercise practicing-example-1
User Safwan Samsudeen
by
8.3k points

1 Answer

3 votes

Given:


Z=(X-\mu)/(\sigma)

a)


\begin{gathered} X=\text{ \$}70 \\ \mu=\text{ \$}100\text{ } \\ \sigma=\text{ \$12} \\ \\ Therefore, \\ Z=(70-100)/(12)=-2.5 \end{gathered}

Hence,


P\left(x<strong>Therefore, the answer is </strong><strong>0.0062097</strong><strong>.</strong><p><strong>b) </strong></p>[tex]\begin{gathered} X_1=\text{ \$90,}X_2=\text{ \$120} \\ \\ Z_1=(90-100)/(12)=-0.8333 \\ Z_2=(120-100)/(12)=1.6667 \end{gathered}

Therefore,


P\left(-0.8333<strong>Hence, the answer is </strong><strong>0.74988</strong><strong>.</strong><p><strong>c) </strong></p>[tex]\begin{gathered} X=\text{ \$140} \\ \\ Z=(140-100)/(12)=3.3333 \end{gathered}

Therefore,


P\left(x>Z\right)=0.00042911

Hence, the answer is 0.00042911.

User Sameer Sarmah
by
7.5k points
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