Asked by Jenna Garland on May 06, 2024
Verified
The probability model below describes the number of thunderstorms that a certain town may experience during the month of August. Number of storms 0123 Probability 0.10.30.50.1\begin{array} { l | l l l l } \text { Number of storms } & 0 & 1 & 2 & 3 \\\hline \text { Probability } & 0.1 & 0.3 & 0.5 & 0.1\end{array} Number of storms Probability 00.110.320.530.1 How many storms can the town expect each August?
A) 1.5
B) 1.9
C) 2.0
D) 1.7
E) 1.6
Probability Model
A mathematical representation or framework that describes the possible outcomes of a random phenomenon and the likelihood of each outcome.
Number Of Storms
The count of storm events within a specified area and time period.
Month Of August
The eighth month of the Gregorian calendar, following July and preceding September, typically associated with the summer season in the northern hemisphere.
- Understand the probability distributions associated with discrete random variables.
- Compute the expected value for discrete random variables.
Verified Answer
GW
Gursimran WarainchMay 06, 2024
Final Answer :
E
Explanation :
To find the expected number of storms, multiply each number of storms by its probability and sum these products: E(X)=0(0.1)+1(0.3)+2(0.5)+3(0.1)=0+0.3+1.0+0.3=1.6E(X) = 0(0.1) + 1(0.3) + 2(0.5) + 3(0.1) = 0 + 0.3 + 1.0 + 0.3 = 1.6E(X)=0(0.1)+1(0.3)+2(0.5)+3(0.1)=0+0.3+1.0+0.3=1.6 .
Learning Objectives
- Understand the probability distributions associated with discrete random variables.
- Compute the expected value for discrete random variables.