Answer:
If in a day, 458 call options are picked by these traders, around <u> 246.2 </u>of them will be winners, give or take<u> 10.67 </u>.
Step-by-step explanation:
Hello!
Your study variable is X: the number of winning calls in a sample of 458 calls.
The variable has a binomial distribution since you have two possible outcomes, that the call is a winning call (success) or that the call is not a winning call (failure), each call is independent and the probability of success is p= 0.5375 and the probability of failure q= 1-p= 1-0.5375= 0.4625.
The expected value for a binomial distribution is
E(X)= n*p= 458 * 0.5375= 246.175
And to know the standard error (or standard deviation) you have to calculate the square root of the variance:
V(X)= n*p*q= 458*0.5375*0.4625= 113.85
√V(X)= √113.85= 10.67
I hope it helps!
Harry’s claim is not true because there are 20 ounces in his water bottle and he needs to drink a total of 64 ounces of water. Harry only drank 60 ounces because he filled his water bottle 3 times and 20 times 3 equals 60, there fore he is 4 ounces short of his recommended water intake.
Answer: 5, 268 ft
Based on a quick internet search.
Earth is 92.96 million
Mars is 141.6 million
Venus is 67.24 million
Jupiter is 483.8 million
Mercury is 35.98 million
Neptune is 2.795 billion
Saturn is 888.2 million
Uranus is 1.787 billion
we have the inequality
step 1
Find out the first solution (positive case)
The first solution is all real numbers less than or equal to 1.20
Interval (-infinite,1.20]
step 2
Find out the second solution (negative case)
Multiply by -1 both sides
The second solution is all real numbers greater than or equal to -2.8
the interval [-2.8, infinite)
step 3
Find out the solution to the given inequality
The solution is
[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]
the solution is the interval [-2.8,1.20]
see the attached figure to better understand the problem
