678754*457945=12456x
1 answer:
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Answer:
a) f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b) =
Step-by-step explanation:
joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)
Given Data,
X = The number of blue Pens
Y = The number of red Pens
a)
possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)
Please refer fig. also
total number ways of selecting any 2 pens = =
=28
f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b)
P(X,Y)∈A = P(X + Y ≤ 1)
= P(0,0) + P(1,0) + P(0,1)
= +
+
=
Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean :
Standard deviation:
Let x be the random variable that represent the heights of adult male.
z-score :
For x=70, we have
Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-
Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5