What is the simplified expression
1 answer:
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Answer:
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the population = 500 </em>
<em>Given standard deviation of the Population = 75</em>
Let 'X' be the variable in normal distribution
<em>Given X = $410</em>
<em></em><em></em>
<u><em>Step(ii):-</em></u>
The probability that a family spends less than $410 per month
P( X < 410) = P( Z < - 1.2 )
= 0.5 - A( -1.2)
= 0.5 - A(1.2)
= 0.5 - 0.3849 ( ∵from normal table)
= 0.1151
<u>Final answer:-</u>
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
The answers to this questions would be:
1. A-> (1.5, 1.5) 5. A and B-> 7 units
2. B-> (-2, -1.5) 6. C and D-> 3 units
3. C-> (-3.5, 2) 7. B and D-> 1 unit
4. D-> (0.5, 0) 8. A and D-> 8 units
-------------------------------- WORD PROBLEMS------------------------------------------
9. 8 feet
10a. (-4, -1) 10b. (4, 1)
