Answer:
P ≈ 100
Step-by-step explanation:
260 = P(1+0.054/365)^365(14)
260 = P(1.000147945)^5110
260= P(2.129621112)
P= 122.087444818
P ≈ 100
The complete question says:
"Wendy's restaurant has been recognized for having the fastest
average service time among fast food restaurants. In a benchmark
study, Wendy's average service time of 2.2 minutes was less than
those of Burger King, Chick-fil-A, Krystal, McDonald's, Taco Bell,
and Taco John's (QSR Magazine website, December 2014). Assume that
the service time for Wendy's has an exponential distribution.
a. What is the probability that a service time is less than or
equal to one minute (to 4 decimals)?"
The exponential distribution probability is given by the formula:

where:
λ = average in unit time = 1/2.2 = 0.45 services per minute
t = time requested = 1 minute

p(T ≤ 1) = 0.3624
Hence, <span>the probability that a service time is less than or equal to one minute is p = 0.3624, which means 36.24%.</span>
Answer:
The 90% confidence interval is between a lower limit of 0.7306 and an upper limit of 0.7754.
Step-by-step explanation:
Confidence interval for a proportion is given as p +/- margin of error (E)
p is sample proportion = 753/1000 = 0.753
n is sample size = 1000
confidence level = 90%
critical value corresponding to 90% confidence level and infinity degree of freedom is 1.645
E = critical value×sqrt[p(1-p) ÷ n] = 1.645×sqrt[0.753(1-0.753) ÷ 1000] = 1.645×sqrt[1.85991×10^-4] = 1.645×0.0136 = 0.0224
Lower limit of proportion = p - E = 0.753 - 0.0224 = 0.7306
Upper limit of proportion = p + E = 0.753 + 0.0224 = 0.7754
90% confidence interval is (0.7306, 0.7754)
Answer:100 L-?
Step-by-step explanation:
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
First look at graph where the line points to which direction of the graph
And look for any closed or open circles in the graph
Since in the graph has a close circle at (-3,-2) meaning it includes that x-value for its domain.
With the graph going to positive infinity it states that the domain is all real numbers.
So in conclusion it has a domain of all real numbers greater than or equal to -3