What is 514 times 33?
1 answer:
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Answer:
a) 98.01%
b) 13.53\%
c) 27.06%
Step-by-step explanation:
Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2
If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,
a)
In this case, we are looking for P(0)
So, the probability that a car has no flaws is 98.01%
b)
Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.
Now P(k) is the probability that 10 cars have k flaws and
and
And the probability that 10 cars have no flaws is 13.53%
c)
Here, we are looking for P(1) with P defined as in b)
Hence, the probability that at most one car has no flaws is 27.06%
Only true statement for function f(x) = is <u>c. if the value of x increases by 1, the value of y will triple</u>.
<u>Step-by-step explanation:</u>
<u>a. the function decreases </u>
f(x) = , For value of x<1 function decreases and for x>1 function increases . False statement .
<u>c. if the value of x increases by 1, the value of y will triple. </u>
For value of x increases by 1 we have , . True statement.
<u>b. the function has a y-intercept of (0, 3) </u>
At y intercept x=0, f(x) = ,
. Function has a y-intercept of (0,3). False statement.
<u>d. the function contains the point (1, 4)</u>
At x=1, . Function contains (1,12) not (1,4) . False statement.