Answer:
the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Step-by-step explanation:
Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.
The only losing card is the ace; the player loses $20 if that card is drawn.
Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.
So the average value of each draw is

= 28/13
Therefore, on average the player will win $ 28/13. to be a fair game the player must pay $28/13 for a game.
that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Answer:
a. There is more variability in the prices of kid socks because they have a greater range.
Step-by-step explanation:
A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.
From the histogram
Highest Number of Packs of Adult Socks = 7
Lowest Number of Packs of Adult Socks = 5
Range = 7 - 5 =2
Highest Number of Packs of Kid Socks = 7
Lowest Number of Packs of Kid Socks = 4
Range = 7-4 = 3
We conclude that there is more variability in the prices of kid socks because they have a greater range.
The correct option is A.
Answer:
1.16
Step-by-step explanation:
Given that;
For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.
This implies that:
P(0<Z<z) = 0.3770
P(Z < z)-P(Z < 0) = 0.3770
P(Z < z) = 0.3770 + P(Z < 0)
From the standard normal tables , P(Z < 0) =0.5
P(Z < z) = 0.3770 + 0.5
P(Z < z) = 0.877
SO to determine the value of z for which it is equal to 0.877, we look at the
table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)
therefore, P(Z ≤ 1.16 ) = 0.877
I got 3.75. not sure if it’s right but hope i helped
The best estimate for 1,374 is 1,400 and the best estimate for 6 is 10. This is because anything that is 5 and above you change it. Example: 16 the best estimate for 16 is 20 because 6 is above 5. And when a number is 4 and below you change the number below. Example: 12 the best estimate for 12 is 10 because 2 is below 4. And when the number is perfect like 10, you can keep the number the same. Example:10,20,30,40,50,60etc.
Hope this Helped! :)