A company that makes rice cookers performed some quality control experiments, and found that the number of years before their products would fail has the following probability density function, as described in Desmos demonstration below.

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A company that makes rice cookers performed some quality control experiments,
and found that the number of years before their products would fail has the
following probability density function, as described in Desmos demonstration
below.
Untitled Graph
10
+
Probability density function
-5
f (x) :
x< 0:0,x > 0:
xe
3
0<y<f(x){x>0}
4
k= 2
10
Show P(X < k)
--5
11
powered by
What is the probability that a random rice cooker produced by the company would
fail between 4.2 and 7.8 years of usage?
(Your answer should be a decimal. Round to 4 decimal places if necessary.)
Transcribed Image Text:A company that makes rice cookers performed some quality control experiments, and found that the number of years before their products would fail has the following probability density function, as described in Desmos demonstration below. Untitled Graph 10 + Probability density function -5 f (x) : x< 0:0,x > 0: xe 3 0<y<f(x){x>0} 4 k= 2 10 Show P(X < k) --5 11 powered by What is the probability that a random rice cooker produced by the company would fail between 4.2 and 7.8 years of usage? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
A company that makes rice cookers performed some quality control experiments,
and found that the number of years before their products would fail has the
following probability density function, as described in Desmos demonstration
below.
Untitled Graph
10
Show P(X < k)
+
6.
-
x = k
5
x = 2
7
O 0syss(x){0<x<k}
p =
f (x)dx
p
0.264241117657
9
--5-
O
(k,–0.2)
Label: 'P(X < ${k}) = ${p}`
What is the probability that a random rice cooker produced by the company would
fail between 4.2 and 7.8 years of usage?
(Your answer should be a decimal. Round to 4 decimal places if necessary.)
II
+
Transcribed Image Text:A company that makes rice cookers performed some quality control experiments, and found that the number of years before their products would fail has the following probability density function, as described in Desmos demonstration below. Untitled Graph 10 Show P(X < k) + 6. - x = k 5 x = 2 7 O 0syss(x){0<x<k} p = f (x)dx p 0.264241117657 9 --5- O (k,–0.2) Label: 'P(X < ${k}) = ${p}` What is the probability that a random rice cooker produced by the company would fail between 4.2 and 7.8 years of usage? (Your answer should be a decimal. Round to 4 decimal places if necessary.) II +
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