Assume That $\mathrm { x }$ Is a Random Variable in a Probability Distribution with Mean

question 89

Multiple Choice

Assume that $\mathrm { x }$ is a random variable in a probability distribution with mean $\mu$ and standard deviation $\sigma$ . Find expressions for the mean and standard deviation if every value of $\mathrm { x }$ is modified by first being multiplied by 5 , then increased by 4 .

• A) \(\mu _ { \text {new } } = 5 \mu + 4 ; \sigma _ { \text {new } } = 5 \sigma + 4\)
• B) \(\mu _ { \text {new } } = 4 \mu + 5 ; \sigma _ { \text {new } } = 4 \sigma\)
• C) \(\mu _ { \text {new } } = \mu + 4 ; \sigma _ { \text {new } } = 5 \sigma\)
• D) \(\mu _ { \text {new } } = 5 \mu + 4 ; \sigma _ { \text {new } } = 5 \sigma\)

---

Definitions:

Health-care Providers

Professionals and facilities that offer health-related services to individuals, including medical treatment, diagnosis, and preventive care.

Human Transaction

Interactions between individuals that involve exchange or communication, often considered in social, psychological, and economic contexts.

Orlando's Work

Refers to Ida Jean Orlando's nursing theory, which highlights the dynamic nurse-patient relationship where the nurse uses their perception, thought, and feeling to meet the patient's immediate need for help.

Nurse-patient Relationship

The professional bond and interaction between a nurse and a patient, foundational to patient care and recovery.