Answer:
Step-by-step explanation:
Hello!
You have the data on 443 rounds of golf played on the 12th hole.
The variable of interest is:
X: score of one round of golf played on the 12th hole.
To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.
a. Check attachment.
fi= absolute frequency
Fi= accumulated absolute frequencies
hi= relative frequency
Hi= accumulated relative frequency
b.
P(X≤4)
This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:
P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136
c.
The expected score of a discrete variable is:
E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29
d.
To calculate the variance of the variable you have to use the following formula:
V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]
V(X)= 0.993
e.
The standard deviation is the square root of the variance:
√V(X)=√0.993= 0.994
I hope it helps!
I think it would be 1 5/4 that would be your answer
Answer:
2940
Step-by-step explanation:
You are subtracting a negative number. "Minus a negative is plus."
525 - (-2415) = 525 + 2415 = 2940
Hello!
For a:
How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.
Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs.
Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.
4 / 2 = 2 rabbits
So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.
So there are 44 chickens and 2 rabbits.
b)
You can follow the same steps: I'm assuming all are child tickets for now:
3.05 * 100 = $305
And now you find how much money short you are.
498.6 - 305 = 193.6
Next, you find the difference in the ticket costs.
5.25 - 3.05 = 2.20
And you divide to find the number of adult tickets.
193.6 / 2.2 = 88
Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
Hello.
First of all, let the number be t.
8 times t can be written like this:
Notice that the number is before the variable and the times sign (×) is not there.
We can write it as 8×t, but we usually write it as 8t.
The sum of means we add:
8t+21
Now, "less than" is "<" :
Therefore, the answer is
I hope it helps.
Have a nice day.
