IB Mathematics Analysis and Approaches Topic SL…

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IB Mathematics Analysis and Approaches Topic SL… | RevisionDojo

Question

SLPaper 2

A clinic measures the systolic blood pressure of all visiting patients. The blood pressure $P$ , in mmHg, of patients is normally distributed with a mean of $122$ mmHg and a standard deviation of $9$ mmHg. A patient is classified as having elevated blood pressure if $P > 130$ mmHg.

A patient is selected at random.

(a)

Find the probability that this patient has elevated blood pressure.

[3]

(b)

Given that the patient has elevated blood pressure, find the probability that their blood pressure is greater than $140$ mmHg.

[3]

(c)

Two patients are selected at random. Find the probability that they both have elevated blood pressure.

[3]

(d)

SLPaper 2

A bakery produces loaves of bread. The weights $X$ , in grams, of loaves can be modelled by a normal distribution where $X \sim N(\mu, \sigma^2)$ . A loaf is classified as substandard if it weighs less than grams.

SLPaper 2

Let $W$ be the mass, in g, of packets filled by a machine. The masses are normally distributed with mean $\mu=250\text{ g}$ and variance $\sigma^2=25\text{ g}^2$ .

SLPaper 2

Let $H$ be the height, in cm, of a student in a school. The heights are normally distributed with mean $\mu=165\mathrm{~cm}$ and variance $σ^{2} = 64^{}$ .

SLPaper 2

Let $X$ and $Y$ be normally distributed with $X \sim N(80, \sigma^2)$ and , where the values are measured in kilograms.

Practice IB Mathematics Analysis and Approaches (AA) Topic SL 4.12—Z Values, Inverse Normal to Find Mean and Standard Deviation with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.12—Z Values, Inverse Normal to Find Mean and Standard Deviation and mirrors Paper 1, 2, 3 style where relevant.

Get instant solutions, detailed explanations, and build confidence with questions aligned to IB examiner expectations.

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\sigma^{2}=64\mathrm{~cm}^{2}

IB Mathematics Analysis and Approaches SL 4.12—Z Values, Inverse Normal to Find Mean and Standard Deviation Questionbank

IB Mathematics Analysis and Approaches (AA) Topic SL 4.12—Z Values, Inverse Normal to Find Mean and Standard Deviation Questionbank