# Statistical Analysis (Normal Distribution)

**Question description**

**Bass:** The bass in Clear Lake have weights that are normally distributed with a mean of 2.3 pounds and a standard deviation of 0.6 pounds.

**Round your answer to 4 decimal places.**

(b) If you catch one random bass from Clear Lake, find the probability that it weighs more than 3 pounds?

**Round your answer to 4 decimal places.**

(c) If you catch one random bass from Clear Lake, find the probability that it weighs between 1 and 3 pounds?

**Round your answer to 4 decimal places.**

**Bass:** The bass in Clear Lake have weights that are normally distributed with a mean of 2.6 pounds and a standard deviation of 0.9 pounds.

(a) Suppose you only want to keep fish that are in the top 20% as far as weight is concerned. What is the minimum weight of a keeper? **Round your answer to 2 decimal places. **

pounds

(b) Suppose you want to mount a fish if it is in the top 0.5% of those in the lake. What is the minimum weight of a bass to be mounted? **Round your answer to 2 decimal places. **

pounds

(c) Determine the weights that delineate the middle 95% of the bass in Clear Lake. **Round your answers to 2 decimal places. **

from to pounds

**How Laude?**Many educational institutions award three levels of Latin honors often based on GPA. These are

*cum laude*(with high praise),

*magna cum laude*(with great praise), and

*summa cum laude*(with highest praise). Requirements vary from school to school. Suppose the GPAs at State College are normally distributed with a mean of 2.9and standard deviation of 0.41.

(a) Suppose State College awards the top 2% of students (based on GPA) with the *summa cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

(b) Suppose State College awards the top 10% of students (based on GPA) with the *magna cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

(c) Suppose State College awards the top 20% of students (based on GPA) with the *cum laude* honor. What GPA gets you this honor? **Round your answer to 2 decimal places. **

GPA or higher

## Tutor Answer

## Review from our student for this Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors