Answer:
A) 0.1636
B) 0.7292
C) 0.0305
Step-by-step explanation:
This is a binomial probability distribution question that follows;
P(X = x) = nCx × p^(x) × q^(n - x)
In this case, p = 64% = 0.64
q = 1 - p = 1 - 0.64 = 0.36
Thus;
A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636
B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424
P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462
P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642
P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649
P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115
Thus;
P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115
P(x ≥ 6) = 0.7292
C) P(x < 4) = P(0) + P(1) + P(2) + P(3)
From online binomial probability calculator, we have;
P(x < 4) = 0.0305
Use photo math. or mathpapa to help you solve the equation
To make a box and whisker plot, first you write down all of the numbers from least to greatest.
0, 1, 3, 4, 7, 8, 10
The median is 4, so that’s the middle line of the plot.
So now we have:
0, 1, 3, [4,] 7, 8, 10
So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10
Those are the next 2 points you put on the plot.
Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]
These are the final points on the plot.
To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.
Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.
They are all the x points on the graph like the range is the y
Answer:
y = 3x + 15
Step-by-step explanation:
1. Find the reciprocal of the slope and change signs: -3
2. y = 3x + b
3. Plug in x and y --> b = 15
4. Make your equation using y = mx + b: y = 3x + 15
