Mrs. Start's class paid $5.60 for 4 5 yd of lace for an art project. Later, the class decided to buy another 7 3 4 yd of the sam
1 answer:
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Answer:
(a) 0.7967
(b) 0.6826
(c) 0.3707
(d) 0.9525
(e) 0.1587
Step-by-step explanation:
The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and variance <em>σ</em>² = 36.
(a)
Compute the value of P (X > 5) as follows:
Thus, the value of P (X > 5) is 0.7967.
(b)
Compute the value of P (4 < X < 16) as follows:
Thus, the value of P (4 < X < 16) is 0.6826.
(c)
Compute the value of P (X < 8) as follows:
Thus, the value of P (X < 8) is 0.3707.
(d)
Compute the value of P (X < 20) as follows:
Thus, the value of P (X < 20) is 0.9525.
(e)
Compute the value of P (X > 16) as follows:
Thus, the value of P (X > 16) is 0.1587.
**Use a <em>z</em>-table for the probabilities.
Chuck has a gross pay of $815.70. His gross pay will be reduced by:
- Federal tax of $56;
- Social Security tax that is 6.2% of his gross pay;
- Medicare tax that is 1.45% of his gross pay;
- State tax that is 19% of his federal tax.
Let's count:
1. gross pay of $815.70 - 100%,
Social Security tax of $x - 6.2%.
Then
2. gross pay of $815.70 - 100%,
Medicare tax of $y - 1.45%.
Then
3. Federal tax of $56 - 100%,
State tax $z - 19%.
Then
4. Chuck’s gross pay will be reduced by