This question is incomplete, the complete question is;
Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:
x 0 0.5 1 1.5 2 2.5
f(x) 0.1 0.2 0.3 0.2 0.1 0.1
determine;
a) P( X < 2.5 )
B) P( 0.75 < X ≤ 1.5 )
Answer:
a) P( X < 2.5 ) = 0.9
b) P( 0.75 < X ≤ 1.5 ) = 0.5
Step-by-step explanation:
Given the data in the question;
The probability mass function for X is:
x 0 0.5 1 1.5 2 2.5
f(x) 0.1 0.2 0.3 0.2 0.1 0.1
a) P( X < 2.5 )
P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]
so
P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1
P( X < 2.5 ) = 0.9
b) P( 0.75 < X ≤ 1.5 )
P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]
so
P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2
P( 0.75 < X ≤ 1.5 ) = 0.5
<em><u>0.9506</u></em>
Step-by-step explanation:
here's the easy explanation:
We have 2% and 3%.
Take them both away from 100 since we're decreasing!
<em>100 - 2 = 98</em>
<em>100 - 3 = 97</em>
Divide them both by 100.
<em>98 --> 0.98</em>
<em>97 --> 0.97</em>
Times them both together!
<em>0.98x0.97 = 0.9506</em>
<em>Hope </em><em>this </em><em>helps </em><em>you</em><em>></em><em>^</em><em>_</em><em>^</em><em><</em>
<em>#</em><em>b</em><em>r</em><em>a</em><em>i</em><em>n</em><em>l</em><em>y</em><em>e</em><em>veryday</em><em>:</em><em>)</em>
Divide 360 by 24 to find 1%. Then multiply by 100. 360/24 *100= 1500
