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Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of passengers that rest or sleep during a flight.
The sample taken is n=9 passengers and the probability of success, that is finding a passenger that either rested or sept during the flight, is p=0.80.
I'll use the binomial tables to calculate each probability, these tables give the values of accumulated probability: P(X≤x)
a. P(6)= P(X=6)
To reach the value of selecting exactly 6 passengers you have to look for the probability accumulated until 6 and subtract the probability accumulated until the previous integer:
P(X=6)= P(X≤6)-P(X≤5)= 0.2618-0.0856= 0.1762
b. P(9)= P(X=9)
To know the probability of selecting exactly 9 passengers that either rested or slept you have to do the following:
P(X≤9) - P(X≤8)= 1 - 0.8657= 0.1343
c. P(X≥6)
To know what percentage of the probability distribution is above six, you have to subtract from the total probability -1- the cumulated probability until 6 but without including it:
P(X≥6)= 1 - P(X<6)= 1 - P(X≤5)= 1 - 0.0856= 0.9144
I hope it helps!
Answer:
The account statement had an ending balance of $153
Step-by-step explanation:
Check register actual balance= $256
Less; Written check= -$312
The account is short; $256-$312= -$56
Add the new deposit =-$56+$250= $194
Therefore , new account balance= $194
Subtract fees($8 & $33) from the balance= $194- $8- $33=$153
The account statement had an ending balance of $153
Answer:
y = 0.1(4^x)
Step-by-step explanation:
An exponential function can be written as ...
y = a(b^x)
where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.
The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...
y = 0.1(4^x)