Question
The customer accounts of a certain departmental store have an average balance of Rs 120 and a standard deviation of Rs 40. Assuming that the account balances are normally distributed-
a. What proportion of the accounts is over Rs 150?
b. What proportion of accounts is between Rs 100 and Rs 150?
(Refer tables for finding the required tabulated value)
Answer :
Word Count : 251
We are given the following: * Mean (μ) = Rs 120 * Standard Deviation (σ) = Rs 40 * Distribution = Normal distribution We are to find proportions using standard normal distribution Z-values, and use the Z-table to find probabilities. --- ### (a) Proportion of accounts over Rs 150 We first convert Rs 150 to a Z-score: $$ Z = \frac{X - _________ __________ ________ _____ ________ ______ ___ __________ __________.
_________ _____ _____ _______ ___ __________ __________ ____.
_____ ____ __________ _____ ____ ___ _______ ___ __________.
______ __________ ____ _______ _____ ____ __________.
___ _______ _________ _________ _____ _________ _____.
___ ____ ______ __________ _______ __________ __________ _____ ______ __________ _______ _______.
_________ _______ ___ _____ ______ _______.
________ ___ _________ _______ ____ ______ ___ __________.
_______ _______ _____ ________ ________ _____ ______ _________ ____ _________ _________.
______ __________ ___ ______ _________ ____ ____ ____ ______ ______.
_________ _________ ____ ________ _________ ______ __________ ______ _________ ___ _____ ___.
______ _______ _______ __________ ________ ________ ____ ______ ____.
___ __________ __________ ___ __________.
_______ _________ _______ ____ _____ ____ _______ _______ ______.
___ _______ _____ ___ __________ __________ _______.
______ _________ __________ ___ _______ ____.
____ _______ _________ ___ ________.
_______ _________ ____ _______ ________ _____ _______.
___ ____ ______ __________ _________ __________ ____ __________.
_________ ________ _____ ____ ________ _______ __________ ____ __________ __________.
_________ ________ ________ ________ ______ __________ ___ _______ ________ _____ ____ __________.
_________ _______ ________ ____ ___ _________ _______ ________ _________.
_____ ________ __________.
Get Full Answer on WhatsApp
We are given the following: * Mean (μ) = Rs 120 * Standard Deviation (σ) = Rs 40 * Distribution = Normal distribution We are to find proportions using standard normal distribution Z-values, and use the Z-table to find probabilities. --- ### (a) Proportion of accounts over Rs 150 We first convert Rs 150 to a Z-score: $$ Z = \frac{X - _________ __________ ________ _____ ________ ______ ___ __________ __________.
_________ _____ _____ _______ ___ __________ __________ ____.
_____ ____ __________ _____ ____ ___ _______ ___ __________.
______ __________ ____ _______ _____ ____ __________.
___ _______ _________ _________ _____ _________ _____.
___ ____ ______ __________ _______ __________ __________ _____ ______ __________ _______ _______.
_________ _______ ___ _____ ______ _______.
________ ___ _________ _______ ____ ______ ___ __________.
_______ _______ _____ ________ ________ _____ ______ _________ ____ _________ _________.
______ __________ ___ ______ _________ ____ ____ ____ ______ ______.
_________ _________ ____ ________ _________ ______ __________ ______ _________ ___ _____ ___.
______ _______ _______ __________ ________ ________ ____ ______ ____.
___ __________ __________ ___ __________.
_______ _________ _______ ____ _____ ____ _______ _______ ______.
___ _______ _____ ___ __________ __________ _______.
______ _________ __________ ___ _______ ____.
____ _______ _________ ___ ________.
_______ _________ ____ _______ ________ _____ _______.
___ ____ ______ __________ _________ __________ ____ __________.
_________ ________ _____ ____ ________ _______ __________ ____ __________ __________.
_________ ________ ________ ________ ______ __________ ___ _______ ________ _____ ____ __________.
_________ _______ ________ ____ ___ _________ _______ ________ _________.
_____ ________ __________.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★