Suppose you have 3 quizzes and want an average of 7 points. List at least five ways this average can be accomplished. keep in mi
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Answer:
E(X₁)= 1.76
E(X₂)= 4.18
E(X₃)= 9.24
E(X₄)= 6.82
a. P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= 0.00022
b. P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= 0.000001
c. P(X₁≤2) = 0.7442
Step-by-step explanation:
Hello!
So that you can easily resolve this problem first determine your experiment and it's variables. In this case, you have 22 seedlings (n) planted and observe what happens with the after one month, each seedling independent of the others and has each leads to success for exactly one of four categories with a fixed success probability per category. This is a multinomial experiment so I'll separate them in 4 different variables with the corresponding probability of success for each one of them:
X₁: "The seedling is dead" p₁: 0.08
X₂: "The seedling exhibits slow growth" p₂: 0.19
X₃: "The seedling exhibits medium growth" p₃: 0.42
X₄: "The seedling exhibits strong growth" p₄:0.31
To calculate the expected number for each category (k) you need to use the formula:
E(X
So
E(X₁)= n*p₁ = 22*0.08 = 1.76
E(X₂)= n*p₂ = 22*0.19 = 4.18
E(X₃)= n*p₃ = 22*0.42 = 9.24
E(X₄)= n*p₄ = 22*0.31 = 6.82
Next, to calculate each probability you just use the corresponding probability of success of each category:
Formula: P(X₁, X₂,..., Xk) =
a.
P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= = 0.00022
b.
P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= = 0.000001
c.
P(X₁≤2) = +
+
= 0.7442
I hope you have a SUPER day!
The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.
<h3>What is a transformation of geometry?</h3>A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Rotation does not change the size and shape of the geometry.
The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.
The diagram is given below.
More about the transformation of geometry link is given below.
#SPJ1
